3359292960 has 96 divisors (see below), whose sum is σ = 10598515200. Its totient is φ = 894394368.

The previous prime is 3359292953. The next prime is 3359292977. The reversal of 3359292960 is 692929533.

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

It is a super-2 number, since 2×3359292960² = 22569698382211123200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 317841 + ... + 328239.

It is an arithmetic number, because the mean of its divisors is an integer number (110401200).

Almost surely, 2^3359292960 is an apocalyptic number.

3359292960 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 3359292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299257600).

3359292960 is an abundant number, since it is smaller than the sum of its proper divisors (7239222240).

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

3359292960 is a wasteful number, since it uses less digits than its factorization.

3359292960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11090 (or 11082 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 48.

The square root of 3359292960 is about 57959.4078644701. The cubic root of 3359292960 is about 1497.6694118926.

The spelling of 3359292960 in words is "three billion, three hundred fifty-nine million, two hundred ninety-two thousand, nine hundred sixty".