3392712960 has 864 divisors, whose sum is σ = 14484274560. Its totient is φ = 668860416.

The previous prime is 3392712959. The next prime is 3392712971. The reversal of 3392712960 is 692172933.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46475484 + ... + 46475556.

Almost surely, 2^3392712960 is an apocalyptic number.

3392712960 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 3392712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242137280).

3392712960 is an abundant number, since it is smaller than the sum of its proper divisors (11091561600).

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

3392712960 is a wasteful number, since it uses less digits than its factorization.

3392712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 3392712960 is about 58246.9995793775. Note that the first 3 decimals coincide. The cubic root of 3392712960 is about 1502.6195648126.

The spelling of 3392712960 in words is "three billion, three hundred ninety-two million, seven hundred twelve thousand, nine hundred sixty".