34291920 has 160 divisors (see below), whose sum is σ = 118742400. Its totient is φ = 8128512.

The previous prime is 34291897. The next prime is 34291963. The reversal of 34291920 is 2919243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90291 + ... + 90669.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 2^34291920 is an apocalyptic number.

34291920 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 34291920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59371200).

34291920 is an abundant number, since it is smaller than the sum of its proper divisors (84450480).

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

34291920 is a wasteful number, since it uses less digits than its factorization.

34291920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 34291920 is about 5855.9303274544. The cubic root of 34291920 is about 324.8857033984.

The spelling of 34291920 in words is "thirty-four million, two hundred ninety-one thousand, nine hundred twenty".