360038981952 has 336 divisors, whose sum is σ = 1143517997440. Its totient is φ = 107587989504.

The previous prime is 360038981947. The next prime is 360038982001. The reversal of 360038981952 is 259189830063.

360038981952 is a `hidden beast` number, since 360 + 0 + 3 + 8 + 98 + 195 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228016299 + ... + 228017877.

Almost surely, 2^360038981952 is an apocalyptic number.

360038981952 is a gapful number since it is divisible by the number (32) 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 360038981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571758998720).

360038981952 is an abundant number, since it is smaller than the sum of its proper divisors (783479015488).

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

360038981952 is a wasteful number, since it uses less digits than its factorization.

360038981952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 360038981952 in words is "three hundred sixty billion, thirty-eight million, nine hundred eighty-one thousand, nine hundred fifty-two".