3940676352 has 288 divisors, whose sum is σ = 12291471360. Its totient is φ = 1243607040.

The previous prime is 3940676351. The next prime is 3940676371. The reversal of 3940676352 is 2536760493.

3940676352 is a `hidden beast` number, since 3 + 9 + 4 + 0 + 6 + 7 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3940676352² = 31057860222424055808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3940676298 and 3940676307.

It is not an unprimeable number, because it can be changed into a prime (3940676351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11356243 + ... + 11356589.

It is an arithmetic number, because the mean of its divisors is an integer number (42678720).

Almost surely, 2^3940676352 is an apocalyptic number.

3940676352 is a gapful number since it is divisible by the number (32) 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 3940676352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6145735680).

3940676352 is an abundant number, since it is smaller than the sum of its proper divisors (8350795008).

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

3940676352 is a wasteful number, since it uses less digits than its factorization.

3940676352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3940676352 is about 62774.8066663690. The cubic root of 3940676352 is about 1579.5143986516.

It can be divided in two parts, 3940676 and 352, that added together give a triangular number (3941028 = T₂₈₀₇).

The spelling of 3940676352 in words is "three billion, nine hundred forty million, six hundred seventy-six thousand, three hundred fifty-two".