34479540 has 96 divisors (see below), whose sum is σ = 108984960. Its totient is φ = 9047808.

The previous prime is 34479527. The next prime is 34479583. The reversal of 34479540 is 4597443.

34479540 is a `hidden beast` number, since 3 + 44 + 79 + 540 = 666.

It is a super-2 number, since 2×34479540² = 2377677357223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34479495 and 34479504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35704 + ... + 36656.

It is an arithmetic number, because the mean of its divisors is an integer number (1135260).

Almost surely, 2^34479540 is an apocalyptic number.

34479540 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 34479540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54492480).

34479540 is an abundant number, since it is smaller than the sum of its proper divisors (74505420).

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

34479540 is a wasteful number, since it uses less digits than its factorization.

34479540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 34479540 is about 5871.9281330752. The cubic root of 34479540 is about 325.4771374288.

The spelling of 34479540 in words is "thirty-four million, four hundred seventy-nine thousand, five hundred forty".