3332521984 has 135 divisors (see below), whose sum is σ = 7508852953. Its totient is φ = 1477836800.

The previous prime is 3332521919. The next prime is 3332521991. The reversal of 3332521984 is 4891252333.

The square root of 3332521984 is 57728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 160579584 + 3171942400 = 12672^2 + 56320^2 .

It is a super-2 number, since 2×3332521984² = 22211405547686592512, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (155520) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 81281004 + ... + 81281044.

Almost surely, 2^3332521984 is an apocalyptic number.

3332521984 is the 57728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332521984

3332521984 is an abundant number, since it is smaller than the sum of its proper divisors (4176330969).

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

3332521984 is an frugal number, since it uses more digits than its factorization.

3332521984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 54 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The cubic root of 3332521984 is about 1493.6803728591.

The spelling of 3332521984 in words is "three billion, three hundred thirty-two million, five hundred twenty-one thousand, nine hundred eighty-four".