3954582432 has 192 divisors, whose sum is σ = 12266432640. Its totient is φ = 1235202048.

The previous prime is 3954582421. The next prime is 3954582497. The reversal of 3954582432 is 2342854593.

3954582432 is a `hidden beast` number, since 39 + 5 + 4 + 582 + 4 + 32 = 666.

3954582432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3954582432² = 31277444422966069248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 4508778 + ... + 4509654.

It is an arithmetic number, because the mean of its divisors is an integer number (63887670).

Almost surely, 2^3954582432 is an apocalyptic number.

3954582432 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 3954582432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133216320).

3954582432 is an abundant number, since it is smaller than the sum of its proper divisors (8311850208).

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

3954582432 is a wasteful number, since it uses less digits than its factorization.

3954582432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1206 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 3954582432 is about 62885.4707543801. The cubic root of 3954582432 is about 1581.3701771379.

The spelling of 3954582432 in words is "three billion, nine hundred fifty-four million, five hundred eighty-two thousand, four hundred thirty-two".