34791372 has 162 divisors, whose sum is σ = 113138844. Its totient is φ = 8981280.

The previous prime is 34791353. The next prime is 34791377. The reversal of 34791372 is 27319743.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34791377) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 213363 + ... + 213525.

Almost surely, 2^34791372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34791372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56569422).

34791372 is an abundant number, since it is smaller than the sum of its proper divisors (78347472).

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

34791372 is a wasteful number, since it uses less digits than its factorization.

34791372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 186 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 34791372 is about 5898.4211446793. The cubic root of 34791372 is about 326.4553962710.

It can be divided in two parts, 3479 and 1372, that added together give a triangular number (4851 = T₉₈).

The spelling of 34791372 in words is "thirty-four million, seven hundred ninety-one thousand, three hundred seventy-two".