3362999040 has 576 divisors, whose sum is σ = 12778106880. Its totient is φ = 836075520.

The previous prime is 3362999039. The next prime is 3362999051. The reversal of 3362999040 is 409992633.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3362999040² = 22619525086081843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46068444 + ... + 46068516.

Almost surely, 2^3362999040 is an apocalyptic number.

3362999040 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 3362999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389053440).

3362999040 is an abundant number, since it is smaller than the sum of its proper divisors (9415107840).

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

3362999040 is a wasteful number, since it uses less digits than its factorization.

3362999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 3362999040 is about 57991.3703924989. The cubic root of 3362999040 is about 1498.2199684941.

The spelling of 3362999040 in words is "three billion, three hundred sixty-two million, nine hundred ninety-nine thousand, forty".