3970290240 has 336 divisors, whose sum is σ = 16147572480. Its totient is φ = 876072960.

The previous prime is 3970290223. The next prime is 3970290241. The reversal of 3970290240 is 420920793.

3970290240 is a `hidden beast` number, since 397 + 0 + 29 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3970290195 and 3970290204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3970290241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581245 + ... + 588035.

Almost surely, 2^3970290240 is an apocalyptic number.

3970290240 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 3970290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8073786240).

3970290240 is an abundant number, since it is smaller than the sum of its proper divisors (12177282240).

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

3970290240 is a wasteful number, since it uses less digits than its factorization.

3970290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6850 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3970290240 is about 63010.2391679321. The cubic root of 3970290240 is about 1583.4611727127.

The spelling of 3970290240 in words is "three billion, nine hundred seventy million, two hundred ninety thousand, two hundred forty".