3728087400 has 48 divisors (see below), whose sum is σ = 11557072800. Its totient is φ = 994156480.

The previous prime is 3728087399. The next prime is 3728087417. The reversal of 3728087400 is 47808273.

3728087400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3106140 + ... + 3107339.

It is an arithmetic number, because the mean of its divisors is an integer number (240772350).

Almost surely, 2^3728087400 is an apocalyptic number.

3728087400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3728087400 is an abundant number, since it is smaller than the sum of its proper divisors (7828985400).

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

3728087400 is a wasteful number, since it uses less digits than its factorization.

3728087400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6213498 (or 6213489 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 3728087400 is about 61058.0658062471. The cubic root of 3728087400 is about 1550.5842265223.

The spelling of 3728087400 in words is "three billion, seven hundred twenty-eight million, eighty-seven thousand, four hundred".