3900857400 has 384 divisors, whose sum is σ = 15524006400. Its totient is φ = 889804800.

The previous prime is 3900857371. The next prime is 3900857413. The reversal of 3900857400 is 47580093.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1007869 + ... + 1011731.

It is an arithmetic number, because the mean of its divisors is an integer number (40427100).

Almost surely, 2^3900857400 is an apocalyptic number.

3900857400 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 3900857400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7762003200).

3900857400 is an abundant number, since it is smaller than the sum of its proper divisors (11623149000).

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

3900857400 is a wasteful number, since it uses less digits than its factorization.

3900857400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3900857400 is about 62456.8443006849. The cubic root of 3900857400 is about 1574.1762585922.

The spelling of 3900857400 in words is "three billion, nine hundred million, eight hundred fifty-seven thousand, four hundred".