3658249920 has 112 divisors (see below), whose sum is σ = 12508443360. Its totient is φ = 900489216.

The previous prime is 3658249901. The next prime is 3658249943. The reversal of 3658249920 is 299428563.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3658249920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134085 + ... + 159044.

It is an arithmetic number, because the mean of its divisors is an integer number (111682530).

Almost surely, 2^3658249920 is an apocalyptic number.

3658249920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3658249920 is an abundant number, since it is smaller than the sum of its proper divisors (8850193440).

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

3658249920 is a wasteful number, since it uses less digits than its factorization.

3658249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293162 (or 293152 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 3658249920 is about 60483.4681545296. The cubic root of 3658249920 is about 1540.8408743385.

The spelling of 3658249920 in words is "three billion, six hundred fifty-eight million, two hundred forty-nine thousand, nine hundred twenty".