350004790080 has 336 divisors, whose sum is σ = 1325375251200. Its totient is φ = 84070379520.

The previous prime is 350004790063. The next prime is 350004790111. The reversal of 350004790080 is 80097400053.

350004790080 is a `hidden beast` number, since 3 + 500 + 0 + 4 + 79 + 0 + 0 + 80 = 666.

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

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, 3402441 + ... + 3503799.

It is an arithmetic number, because the mean of its divisors is an integer number (3944569200).

Almost surely, 2^350004790080 is an apocalyptic number.

350004790080 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 350004790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662687625600).

350004790080 is an abundant number, since it is smaller than the sum of its proper divisors (975370461120).

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

350004790080 is a wasteful number, since it uses less digits than its factorization.

350004790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101502 (or 101489 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 350004790080 in words is "three hundred fifty billion, four million, seven hundred ninety thousand, eighty".