350729540 has 48 divisors (see below), whose sum is σ = 846048000. Its totient is φ = 119636352.

The previous prime is 350729537. The next prime is 350729551. The reversal of 350729540 is 45927053.

It is a super-2 number, since 2×350729540² = 246022420457223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 350729540.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21566 + ... + 34154.

It is an arithmetic number, because the mean of its divisors is an integer number (17626000).

Almost surely, 2^350729540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350729540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423024000).

350729540 is an abundant number, since it is smaller than the sum of its proper divisors (495318460).

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

350729540 is a wasteful number, since it uses less digits than its factorization.

350729540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12804 (or 12802 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 350729540 is about 18727.7745607961. The cubic root of 350729540 is about 705.2191797095.

The spelling of 350729540 in words is "three hundred fifty million, seven hundred twenty-nine thousand, five hundred forty".