3215376000 has 384 divisors, whose sum is σ = 11989373760. Its totient is φ = 856396800.

The previous prime is 3215375993. The next prime is 3215376019. The reversal of 3215376000 is 6735123.

It is a happy number.

3215376000 is a `hidden beast` number, since 3 + 2 + 1 + 53 + 7 + 600 + 0 = 666.

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 (27) 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 (27).

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, 3887587 + ... + 3888413.

Almost surely, 2^3215376000 is an apocalyptic number.

3215376000 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 3215376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994686880).

3215376000 is an abundant number, since it is smaller than the sum of its proper divisors (8773997760).

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

3215376000 is an frugal number, since it uses more digits than its factorization.

3215376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3215376000 is about 56704.2855523284. The cubic root of 3215376000 is about 1475.9690653838.

The spelling of 3215376000 in words is "three billion, two hundred fifteen million, three hundred seventy-six thousand".