3970400640 has 256 divisors, whose sum is σ = 13390755840. Its totient is φ = 999014400.

The previous prime is 3970400593. The next prime is 3970400641. The reversal of 3970400640 is 460040793.

It is a super-2 number, since 2×3970400640² = 31528162484224819200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3970400641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2439507 + ... + 2441133.

It is an arithmetic number, because the mean of its divisors is an integer number (52307640).

Almost surely, 2^3970400640 is an apocalyptic number.

3970400640 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 3970400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695377920).

3970400640 is an abundant number, since it is smaller than the sum of its proper divisors (9420355200).

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

3970400640 is a wasteful number, since it uses less digits than its factorization.

3970400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3970400640 is about 63011.1152099374. The cubic root of 3970400640 is about 1583.4758494309.

The spelling of 3970400640 in words is "three billion, nine hundred seventy million, four hundred thousand, six hundred forty".