3900178944 has 320 divisors, whose sum is σ = 12570624000. Its totient is φ = 1189416960.

The previous prime is 3900178939. The next prime is 3900178979. The reversal of 3900178944 is 4498710093.

3900178944 is a `hidden beast` number, since 390 + 0 + 178 + 94 + 4 = 666.

It is a super-2 number, since 2×3900178944² = 30422791590441910272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3900178944.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8142097 + ... + 8142575.

It is an arithmetic number, because the mean of its divisors is an integer number (39283200).

Almost surely, 2^3900178944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3900178944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285312000).

3900178944 is an abundant number, since it is smaller than the sum of its proper divisors (8670445056).

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

3900178944 is a wasteful number, since it uses less digits than its factorization.

3900178944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3900178944 is about 62451.4126661679. The cubic root of 3900178944 is about 1574.0849905160.

The spelling of 3900178944 in words is "three billion, nine hundred million, one hundred seventy-eight thousand, nine hundred forty-four".