350874720 has 384 divisors, whose sum is σ = 1442810880. Its totient is φ = 77967360.

The previous prime is 350874703. The next prime is 350874731. The reversal of 350874720 is 27478053.

It is a super-3 number, since 3×350874720³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 63 ways as a sum of consecutive naturals, for example, 1239699 + ... + 1239981.

It is an arithmetic number, because the mean of its divisors is an integer number (3757320).

Almost surely, 2^350874720 is an apocalyptic number.

350874720 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 350874720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721405440).

350874720 is an abundant number, since it is smaller than the sum of its proper divisors (1091936160).

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

350874720 is a wasteful number, since it uses less digits than its factorization.

350874720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 350874720 is about 18731.6502209496. The cubic root of 350874720 is about 705.3164717682.

The spelling of 350874720 in words is "three hundred fifty million, eight hundred seventy-four thousand, seven hundred twenty".