390028953600 has 1152 divisors, whose sum is σ = 1683960969600. Its totient is φ = 87234969600.

The previous prime is 390028953599. The next prime is 390028953617. The reversal of 390028953600 is 6359820093.

390028953600 is a `hidden beast` number, since 3 + 9 + 0 + 0 + 289 + 5 + 360 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 197682214 + ... + 197684186.

It is an arithmetic number, because the mean of its divisors is an integer number (1461771675).

Almost surely, 2^390028953600 is an apocalyptic number.

390028953600 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 390028953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841980484800).

390028953600 is an abundant number, since it is smaller than the sum of its proper divisors (1293932016000).

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

390028953600 is a wasteful number, since it uses less digits than its factorization.

390028953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 390028953600 in words is "three hundred ninety billion, twenty-eight million, nine hundred fifty-three thousand, six hundred".