3928419600 has 120 divisors (see below), whose sum is σ = 14381787840. Its totient is φ = 897922560.

The previous prime is 3928419577. The next prime is 3928419661. The reversal of 3928419600 is 69148293.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225435 + ... + 242234.

It is an arithmetic number, because the mean of its divisors is an integer number (119848232).

Almost surely, 2^3928419600 is an apocalyptic number.

3928419600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3928419600 is an abundant number, since it is smaller than the sum of its proper divisors (10453368240).

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

3928419600 is a wasteful number, since it uses less digits than its factorization.

3928419600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467697 (or 467686 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 3928419600 is about 62677.1058680919. The cubic root of 3928419600 is about 1577.8751011549.

The spelling of 3928419600 in words is "three billion, nine hundred twenty-eight million, four hundred nineteen thousand, six hundred".