3332759040 has 320 divisors, whose sum is σ = 12752308800. Its totient is φ = 820150272.

The previous prime is 3332759029. The next prime is 3332759051. The reversal of 3332759040 is 409572333.

3332759040 is a `hidden beast` number, since 3 + 3 + 3 + 27 + 590 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3332759029) and next prime (3332759051).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3332759040² = 22214565637403443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3332758986 and 3332759004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896706 + ... + 900414.

It is an arithmetic number, because the mean of its divisors is an integer number (39850965).

Almost surely, 2^3332759040 is an apocalyptic number.

3332759040 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 3332759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376154400).

3332759040 is an abundant number, since it is smaller than the sum of its proper divisors (9419549760).

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

3332759040 is a wasteful number, since it uses less digits than its factorization.

3332759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3332759040 is about 57730.0531785655. The cubic root of 3332759040 is about 1493.7157892295.

The spelling of 3332759040 in words is "three billion, three hundred thirty-two million, seven hundred fifty-nine thousand, forty".