3904942500 has 480 divisors, whose sum is σ = 13887054720. Its totient is φ = 944640000.

The previous prime is 3904942487. The next prime is 3904942513. The reversal of 3904942500 is 52494093.

It is an interprime number because it is at equal distance from previous prime (3904942487) and next prime (3904942513).

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47047459 + ... + 47047541.

It is an arithmetic number, because the mean of its divisors is an integer number (28931364).

Almost surely, 2^3904942500 is an apocalyptic number.

3904942500 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 3904942500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943527360).

3904942500 is an abundant number, since it is smaller than the sum of its proper divisors (9982112220).

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

3904942500 is a wasteful number, since it uses less digits than its factorization.

3904942500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3904942500 is about 62489.5391245607. The cubic root of 3904942500 is about 1574.7255757705.

The spelling of 3904942500 in words is "three billion, nine hundred four million, nine hundred forty-two thousand, five hundred".