3212401920 has 576 divisors, whose sum is σ = 13103838720. Its totient is φ = 652345344.

The previous prime is 3212401883. The next prime is 3212401931. The reversal of 3212401920 is 291042123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10133602 + ... + 10133918.

It is an arithmetic number, because the mean of its divisors is an integer number (22749720).

Almost surely, 2^3212401920 is an apocalyptic number.

3212401920 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 3212401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551919360).

3212401920 is an abundant number, since it is smaller than the sum of its proper divisors (9891436800).

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

3212401920 is a wasteful number, since it uses less digits than its factorization.

3212401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3212401920 is about 56678.0550125002. The cubic root of 3212401920 is about 1475.5138563938.

The spelling of 3212401920 in words is "three billion, two hundred twelve million, four hundred one thousand, nine hundred twenty".