3926610432 has 200 divisors, whose sum is σ = 11889604716. Its totient is φ = 1289945088.

The previous prime is 3926610407. The next prime is 3926610449. The reversal of 3926610432 is 2340166293.

3926610432 is a `hidden beast` number, since 3 + 9 + 2 + 6 + 610 + 4 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3334369536 + 592240896 = 57744^2 + 24336^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3026808 + ... + 3028104.

Almost surely, 2^3926610432 is an apocalyptic number.

3926610432 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 3926610432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5944802358).

3926610432 is an abundant number, since it is smaller than the sum of its proper divisors (7962994284).

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

3926610432 is an equidigital number, since it uses as much as digits as its factorization.

3926610432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3926610432 is about 62662.6717591901. The cubic root of 3926610432 is about 1577.6328426250.

The spelling of 3926610432 in words is "three billion, nine hundred twenty-six million, six hundred ten thousand, four hundred thirty-two".