34724640 has 96 divisors (see below), whose sum is σ = 110992896. Its totient is φ = 9123840.

The previous prime is 34724633. The next prime is 34724717. The reversal of 34724640 is 4642743.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34724598 and 34724607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34545 + ... + 35535.

It is an arithmetic number, because the mean of its divisors is an integer number (1156176).

Almost surely, 2^34724640 is an apocalyptic number.

34724640 is a gapful number since it is divisible by the number (30) 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 34724640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55496448).

34724640 is an abundant number, since it is smaller than the sum of its proper divisors (76268256).

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

34724640 is a wasteful number, since it uses less digits than its factorization.

34724640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 34724640 is about 5892.7616615641. The cubic root of 34724640 is about 326.2465421456.

The spelling of 34724640 in words is "thirty-four million, seven hundred twenty-four thousand, six hundred forty".