3219811920 has 120 divisors (see below), whose sum is σ = 11645020296. Its totient is φ = 792566784.

The previous prime is 3219811919. The next prime is 3219811961. The reversal of 3219811920 is 291189123.

It can be written as a sum of positive squares in 4 ways, for example, as 260887104 + 2958924816 = 16152^2 + 54396^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162639 + ... + 181358.

Almost surely, 2^3219811920 is an apocalyptic number.

3219811920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3219811920 is an abundant number, since it is smaller than the sum of its proper divisors (8425208376).

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

3219811920 is a wasteful number, since it uses less digits than its factorization.

3219811920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344029 (or 344020 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 3219811920 is about 56743.3865750010. The cubic root of 3219811920 is about 1476.6475005170.

The spelling of 3219811920 in words is "three billion, two hundred nineteen million, eight hundred eleven thousand, nine hundred twenty".