3214753920 has 384 divisors, whose sum is σ = 13161133440. Its totient is φ = 734552064.

The previous prime is 3214753897. The next prime is 3214753933. The reversal of 3214753920 is 293574123.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087164 + ... + 1090116.

It is an arithmetic number, because the mean of its divisors is an integer number (34273785).

Almost surely, 2^3214753920 is an apocalyptic number.

3214753920 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 3214753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580566720).

3214753920 is an abundant number, since it is smaller than the sum of its proper divisors (9946379520).

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

3214753920 is an equidigital number, since it uses as much as digits as its factorization.

3214753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3214753920 is about 56698.7999873013. The cubic root of 3214753920 is about 1475.8738738152.

The spelling of 3214753920 in words is "three billion, two hundred fourteen million, seven hundred fifty-three thousand, nine hundred twenty".