387533860249536 has 3360 divisors, whose sum is σ = 1590970865702400. Its totient is φ = 91052237168640.

The previous prime is 387533860249517. The next prime is 387533860249573. The reversal of 387533860249536 is 635942068335783.

387533860249536 is a `hidden beast` number, since 3 + 8 + 7 + 5 + 3 + 3 + 8 + 60 + 24 + 9 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1222504290850 + ... + 1222504291166.

It is an arithmetic number, because the mean of its divisors is an integer number (473503233840).

Almost surely, 2^{387533860249536} is an apocalyptic number.

387533860249536 is a gapful number since it is divisible by the number (36) 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 387533860249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795485432851200).

387533860249536 is an abundant number, since it is smaller than the sum of its proper divisors (1203437005452864).

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

387533860249536 is an equidigital number, since it uses as much as digits as its factorization.

387533860249536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2351462400, while the sum is 72.

The spelling of 387533860249536 in words is "three hundred eighty-seven trillion, five hundred thirty-three billion, eight hundred sixty million, two hundred forty-nine thousand, five hundred thirty-six".