3900093900 has 288 divisors, whose sum is σ = 12599193600. Its totient is φ = 926956800.

The previous prime is 3900093893. The next prime is 3900093959. The reversal of 3900093900 is 93900093.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9307891 + ... + 9308309.

It is an arithmetic number, because the mean of its divisors is an integer number (43747200).

Almost surely, 2^3900093900 is an apocalyptic number.

3900093900 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 3900093900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299596800).

3900093900 is an abundant number, since it is smaller than the sum of its proper divisors (8699099700).

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

3900093900 is a wasteful number, since it uses less digits than its factorization.

3900093900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 33.

The square root of 3900093900 is about 62450.7317811409. The cubic root of 3900093900 is about 1574.0735493779.

Adding to 3900093900 its reverse (93900093), we get a palindrome (3993993993).

The spelling of 3900093900 in words is "three billion, nine hundred million, ninety-three thousand, nine hundred".