350736540 has 192 divisors, whose sum is σ = 1239598080. Its totient is φ = 71976960.

The previous prime is 350736517. The next prime is 350736541. The reversal of 350736540 is 45637053.

It is a super-2 number, since 2×350736540² = 246032240982343200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350736541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410754 + ... + 411606.

It is an arithmetic number, because the mean of its divisors is an integer number (6456240).

Almost surely, 2^350736540 is an apocalyptic number.

350736540 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 350736540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619799040).

350736540 is an abundant number, since it is smaller than the sum of its proper divisors (888861540).

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

350736540 is a wasteful number, since it uses less digits than its factorization.

350736540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 350736540 is about 18727.9614480594. The cubic root of 350736540 is about 705.2238713602.

The spelling of 350736540 in words is "three hundred fifty million, seven hundred thirty-six thousand, five hundred forty".