34662672 has 120 divisors (see below), whose sum is σ = 107552640. Its totient is φ = 10333440.

The previous prime is 34662653. The next prime is 34662703. The reversal of 34662672 is 27626643.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124998 + ... + 125274.

It is an arithmetic number, because the mean of its divisors is an integer number (896272).

Almost surely, 2^34662672 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 34662672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53776320).

34662672 is an abundant number, since it is smaller than the sum of its proper divisors (72889968).

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

34662672 is a wasteful number, since it uses less digits than its factorization.

34662672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 34662672 is about 5887.5013375795. The cubic root of 34662672 is about 326.0523583837.

The spelling of 34662672 in words is "thirty-four million, six hundred sixty-two thousand, six hundred seventy-two".