3212964480 has 256 divisors, whose sum is σ = 11258352000. Its totient is φ = 772915200.

The previous prime is 3212964439. The next prime is 3212964493. The reversal of 3212964480 is 844692123.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3146370 + ... + 3147390.

Almost surely, 2^3212964480 is an apocalyptic number.

3212964480 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 3212964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629176000).

3212964480 is an abundant number, since it is smaller than the sum of its proper divisors (8045387520).

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

3212964480 is a wasteful number, since it uses less digits than its factorization.

3212964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3212964480 is about 56683.0175625822. The cubic root of 3212964480 is about 1475.5999826680.

The spelling of 3212964480 in words is "three billion, two hundred twelve million, nine hundred sixty-four thousand, four hundred eighty".