3390344496 has 540 divisors, whose sum is σ = 12812856264. Its totient is φ = 834261120.

The previous prime is 3390344479. The next prime is 3390344497. The reversal of 3390344496 is 6944430933.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3390344496 is a `hidden beast` number, since 33 + 90 + 3 + 44 + 496 = 666.

It is a super-2 number, since 2×3390344496² = 22988871603114988032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3390344497) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 178439175 + ... + 178439193.

Almost surely, 2^3390344496 is an apocalyptic number.

3390344496 is a gapful number since it is divisible by the number (36) 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 3390344496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6406428132).

3390344496 is an abundant number, since it is smaller than the sum of its proper divisors (9422511768).

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

3390344496 is a wasteful number, since it uses less digits than its factorization.

3390344496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The square root of 3390344496 is about 58226.6648194794. The cubic root of 3390344496 is about 1502.2698222056.

The spelling of 3390344496 in words is "three billion, three hundred ninety million, three hundred forty-four thousand, four hundred ninety-six".