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3870806940 = 22345721121331
BaseRepresentation
bin1110011010110111…
…1101001110011100
3100222202121100220000
43212231331032130
530411411310230
61440032454300
7164631213300
oct34655751634
910882540800
103870806940
111706a73600
129003aa390
13498c29310
1428a123d00
15179c55b60
hexe6b7d39c

3870806940 has 1080 divisors, whose sum is σ = 17259935616. Its totient is φ = 718502400.

The previous prime is 3870806917. The next prime is 3870806963. The reversal of 3870806940 is 496080783.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3870806917) and next prime (3870806963).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 124864725 + ... + 124864755.

Almost surely, 23870806940 is an apocalyptic number.

3870806940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3870806940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8629967808).

3870806940 is an abundant number, since it is smaller than the sum of its proper divisors (13389128676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3870806940 is a wasteful number, since it uses less digits than its factorization.

3870806940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3870806940 is about 62215.8094056487. The cubic root of 3870806940 is about 1570.1235841971.

The spelling of 3870806940 in words is "three billion, eight hundred seventy million, eight hundred six thousand, nine hundred forty".