3915233280 has 864 divisors, whose sum is σ = 17198017200. Its totient is φ = 842268672.

The previous prime is 3915233279. The next prime is 3915233293. The reversal of 3915233280 is 823325193.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 230307832 + ... + 230307848.

Almost surely, 2^3915233280 is an apocalyptic number.

3915233280 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 3915233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8599008600).

3915233280 is an abundant number, since it is smaller than the sum of its proper divisors (13282783920).

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

3915233280 is a wasteful number, since it uses less digits than its factorization.

3915233280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3915233280 is about 62571.8249693902. The cubic root of 3915233280 is about 1576.1076652635.

Multiplying 3915233280 by its product of nonzero digits (38880), we get a square (152224269926400 = 12337920²).

The spelling of 3915233280 in words is "three billion, nine hundred fifteen million, two hundred thirty-three thousand, two hundred eighty".