3687207840 has 144 divisors (see below), whose sum is σ = 12611839968. Its totient is φ = 980971008.

The previous prime is 3687207833. The next prime is 3687207883. The reversal of 3687207840 is 487027863.

It is a happy number.

3687207840 is a `hidden beast` number, since 368 + 7 + 207 + 84 + 0 = 666.

3687207840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 669739 + ... + 675221.

It is an arithmetic number, because the mean of its divisors is an integer number (87582222).

Almost surely, 2^3687207840 is an apocalyptic number.

3687207840 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 3687207840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6305919984).

3687207840 is an abundant number, since it is smaller than the sum of its proper divisors (8924632128).

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

3687207840 is a wasteful number, since it uses less digits than its factorization.

3687207840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5971 (or 5960 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3687207840 is about 60722.3833524344. The cubic root of 3687207840 is about 1544.8958486991.

The spelling of 3687207840 in words is "three billion, six hundred eighty-seven million, two hundred seven thousand, eight hundred forty".