34578464 has 48 divisors (see below), whose sum is σ = 70616448. Its totient is φ = 16657152.

The previous prime is 34578437. The next prime is 34578487. The reversal of 34578464 is 46487543.

It is a super-3 number, since 3×34578464³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124694 + ... + 124970.

It is an arithmetic number, because the mean of its divisors is an integer number (1471176).

Almost surely, 2^34578464 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 34578464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35308224).

34578464 is an abundant number, since it is smaller than the sum of its proper divisors (36037984).

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

34578464 is a wasteful number, since it uses less digits than its factorization.

34578464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its digits is 322560, while the sum is 41.

The square root of 34578464 is about 5880.3455680768. The cubic root of 34578464 is about 325.7881117738.

The spelling of 34578464 in words is "thirty-four million, five hundred seventy-eight thousand, four hundred sixty-four".