351084672 has 256 divisors, whose sum is σ = 1116288000. Its totient is φ = 108380160.

The previous prime is 351084661. The next prime is 351084691. The reversal of 351084672 is 276480153.

351084672 is a `hidden beast` number, since 3 + 510 + 84 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3106888 + ... + 3107000.

It is an arithmetic number, because the mean of its divisors is an integer number (4360500).

Almost surely, 2^351084672 is an apocalyptic number.

351084672 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 351084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558144000).

351084672 is an abundant number, since it is smaller than the sum of its proper divisors (765203328).

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

351084672 is a wasteful number, since it uses less digits than its factorization.

351084672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 351084672 is about 18737.2535874391. The cubic root of 351084672 is about 705.4571231834.

The spelling of 351084672 in words is "three hundred fifty-one million, eighty-four thousand, six hundred seventy-two".