3364930480 has 40 divisors (see below), whose sum is σ = 7956075600. Its totient is φ = 1323157248.

The previous prime is 3364930451. The next prime is 3364930501. The reversal of 3364930480 is 840394633.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3364930480² = 22645514270466060800, which contains 22 as substring.

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

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, 351735 + ... + 361174.

It is an arithmetic number, because the mean of its divisors is an integer number (198901890).

It is the magic constant of a 1888 × 1888 magic square.

Almost surely, 2^3364930480 is an apocalyptic number.

It is an amenable number.

3364930480 is an abundant number, since it is smaller than the sum of its proper divisors (4591145120).

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

3364930480 is a wasteful number, since it uses less digits than its factorization.

3364930480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712981 (or 712975 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The square root of 3364930480 is about 58008.0208247101. The cubic root of 3364930480 is about 1498.5067331887.

The spelling of 3364930480 in words is "three billion, three hundred sixty-four million, nine hundred thirty thousand, four hundred eighty".