34362072 has 48 divisors (see below), whose sum is σ = 94653000. Its totient is φ = 11258496.

The previous prime is 34362047. The next prime is 34362101. The reversal of 34362072 is 27026343.

34362072 is a `hidden beast` number, since 34 + 3 + 620 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204 + ... + 8292.

Almost surely, 2^34362072 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 34362072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47326500).

34362072 is an abundant number, since it is smaller than the sum of its proper divisors (60290928).

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

34362072 is a wasteful number, since it uses less digits than its factorization.

34362072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160 (or 8153 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 34362072 is about 5861.9170925560. The cubic root of 34362072 is about 325.1070952777.

The spelling of 34362072 in words is "thirty-four million, three hundred sixty-two thousand, seventy-two".