351785790720 has 576 divisors, whose sum is σ = 1536445693440. Its totient is φ = 74222272512.

The previous prime is 351785790709. The next prime is 351785790739. The reversal of 351785790720 is 27097587153.

It is a happy number.

351785790720 is a `hidden beast` number, since 3 + 517 + 8 + 57 + 9 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3089032 + ... + 3200888.

It is an arithmetic number, because the mean of its divisors is an integer number (2667440440).

Almost surely, 2^351785790720 is an apocalyptic number.

351785790720 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 351785790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768222846720).

351785790720 is an abundant number, since it is smaller than the sum of its proper divisors (1184659902720).

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

351785790720 is a wasteful number, since it uses less digits than its factorization.

351785790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111907 (or 111887 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 351785790720 in words is "three hundred fifty-one billion, seven hundred eighty-five million, seven hundred ninety thousand, seven hundred twenty".