34479760 has 80 divisors (see below), whose sum is σ = 95636736. Its totient is φ = 11303424.

The previous prime is 34479751. The next prime is 34479761. The reversal of 34479760 is 6797443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (34479761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11542 + ... + 14218.

Almost surely, 2^34479760 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 34479760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47818368).

34479760 is an abundant number, since it is smaller than the sum of its proper divisors (61156976).

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

34479760 is a wasteful number, since it uses less digits than its factorization.

34479760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 34479760 is about 5871.9468662446. The cubic root of 34479760 is about 325.4778296733.

The spelling of 34479760 in words is "thirty-four million, four hundred seventy-nine thousand, seven hundred sixty".