3392960 has 56 divisors (see below), whose sum is σ = 8449056. Its totient is φ = 1295360.

The previous prime is 3392959. The next prime is 3392993. The reversal of 3392960 is 692933.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 7130 + ... + 7590.

It is an arithmetic number, because the mean of its divisors is an integer number (150876).

Almost surely, 2^3392960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224528).

3392960 is an abundant number, since it is smaller than the sum of its proper divisors (5056096).

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

3392960 is a wasteful number, since it uses less digits than its factorization.

3392960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 3392960 is about 1841.9989142233. The cubic root of 3392960 is about 150.2656034950.

3392960 divided by its sum of digits (32) gives a triangular number (106030 = T₄₆₀).

It can be divided in two parts, 3 and 392960, that multiplied together give a triangular number (1178880 = T₁₅₃₅).

The spelling of 3392960 in words is "three million, three hundred ninety-two thousand, nine hundred sixty".