352011870904320 has 2688 divisors, whose sum is σ = 1432281416896512. Its totient is φ = 82193389977600.

The previous prime is 352011870904301. The next prime is 352011870904333. The reversal of 352011870904320 is 23409078110253.

It is a happy number.

352011870904320 is a `hidden beast` number, since 3 + 5 + 201 + 1 + 8 + 7 + 0 + 9 + 0 + 432 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 344771665410 + ... + 344771666430.

It is an arithmetic number, because the mean of its divisors is an integer number (532842789024).

Almost surely, 2^{352011870904320} is an apocalyptic number.

352011870904320 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 352011870904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716140708448256).

352011870904320 is an abundant number, since it is smaller than the sum of its proper divisors (1080269545992192).

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

352011870904320 is a wasteful number, since it uses less digits than its factorization.

352011870904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 352011870904320 in words is "three hundred fifty-two trillion, eleven billion, eight hundred seventy million, nine hundred four thousand, three hundred twenty".