34456992 has 48 divisors (see below), whose sum is σ = 91086912. Its totient is φ = 11404800.

The previous prime is 34456991. The next prime is 34456993. The reversal of 34456992 is 29965443.

It is an interprime number because it is at equal distance from previous prime (34456991) and next prime (34456993).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (34456991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13308 + ... + 15684.

It is an arithmetic number, because the mean of its divisors is an integer number (1897644).

Almost surely, 2^34456992 is an apocalyptic number.

34456992 is a gapful number since it is divisible by the number (32) 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 34456992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45543456).

34456992 is an abundant number, since it is smaller than the sum of its proper divisors (56629920).

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

34456992 is a wasteful number, since it uses less digits than its factorization.

34456992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2533 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 34456992 is about 5870.0078364513. The cubic root of 34456992 is about 325.4061730363.

The spelling of 34456992 in words is "thirty-four million, four hundred fifty-six thousand, nine hundred ninety-two".