3904963920 has 960 divisors, whose sum is σ = 17197899264. Its totient is φ = 778567680.

The previous prime is 3904963919. The next prime is 3904963957. The reversal of 3904963920 is 293694093.

3904963920 is a `hidden beast` number, since 3 + 9 + 0 + 4 + 9 + 639 + 2 + 0 = 666.

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 a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 40257312 + ... + 40257408.

Almost surely, 2^3904963920 is an apocalyptic number.

3904963920 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 3904963920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598949632).

3904963920 is an abundant number, since it is smaller than the sum of its proper divisors (13292935344).

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

3904963920 is a wasteful number, since it uses less digits than its factorization.

3904963920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 3904963920 is about 62489.7105130117. The cubic root of 3904963920 is about 1574.7284550754.

The spelling of 3904963920 in words is "three billion, nine hundred four million, nine hundred sixty-three thousand, nine hundred twenty".