34492920 has 128 divisors (see below), whose sum is σ = 129047040. Its totient is φ = 7165440.

The previous prime is 34492907. The next prime is 34492921. The reversal of 34492920 is 2929443.

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 (34492921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7374 + ... + 11106.

It is an arithmetic number, because the mean of its divisors is an integer number (1008180).

Almost surely, 2^34492920 is an apocalyptic number.

34492920 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 34492920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64523520).

34492920 is an abundant number, since it is smaller than the sum of its proper divisors (94554120).

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

34492920 is a wasteful number, since it uses less digits than its factorization.

34492920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 34492920 is about 5873.0673416878. The cubic root of 34492920 is about 325.5192331268.

The spelling of 34492920 in words is "thirty-four million, four hundred ninety-two thousand, nine hundred twenty".