351126990720 has 896 divisors, whose sum is σ = 1417887866880. Its totient is φ = 82338508800.

The previous prime is 351126990719. The next prime is 351126990737. The reversal of 351126990720 is 27099621153.

It is a happy number.

351126990720 is a `hidden beast` number, since 3 + 511 + 2 + 69 + 9 + 0 + 72 + 0 = 666.

It is a super-2 number, since 2×351126990720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 159095857 + ... + 159098063.

Almost surely, 2^351126990720 is an apocalyptic number.

351126990720 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 351126990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708943933440).

351126990720 is an abundant number, since it is smaller than the sum of its proper divisors (1066760876160).

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

351126990720 is a wasteful number, since it uses less digits than its factorization.

351126990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 351126990720 in words is "three hundred fifty-one billion, one hundred twenty-six million, nine hundred ninety thousand, seven hundred twenty".