3332707920 has 240 divisors, whose sum is σ = 11855937600. Its totient is φ = 836628480.

The previous prime is 3332707907. The next prime is 3332707933. The reversal of 3332707920 is 297072333.

It is an interprime number because it is at equal distance from previous prime (3332707907) and next prime (3332707933).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3332707920² = 22213884160061452800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2448040 + ... + 2449400.

It is an arithmetic number, because the mean of its divisors is an integer number (49399740).

Almost surely, 2^3332707920 is an apocalyptic number.

3332707920 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 3332707920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927968800).

3332707920 is an abundant number, since it is smaller than the sum of its proper divisors (8523229680).

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

3332707920 is a wasteful number, since it uses less digits than its factorization.

3332707920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The square root of 3332707920 is about 57729.6104265393. The cubic root of 3332707920 is about 1493.7081519995.

The spelling of 3332707920 in words is "three billion, three hundred thirty-two million, seven hundred seven thousand, nine hundred twenty".