34738272 has 36 divisors (see below), whose sum is σ = 98787780. Its totient is φ = 11579328.

The previous prime is 34738261. The next prime is 34738283. The reversal of 34738272 is 27283743.

It is an interprime number because it is at equal distance from previous prime (34738261) and next prime (34738283).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60022 + ... + 60597.

It is an arithmetic number, because the mean of its divisors is an integer number (2744105).

Almost surely, 2^34738272 is an apocalyptic number.

34738272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34738272 is an abundant number, since it is smaller than the sum of its proper divisors (64049508).

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

34738272 is a wasteful number, since it uses less digits than its factorization.

34738272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120635 (or 120624 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 34738272 is about 5893.9182213533. The cubic root of 34738272 is about 326.2892285590.

The spelling of 34738272 in words is "thirty-four million, seven hundred thirty-eight thousand, two hundred seventy-two".