3379637748960 has 1536 divisors, whose sum is σ = 13564047974400. Its totient is φ = 778804346880.

The previous prime is 3379637748947. The next prime is 3379637749039. The reversal of 3379637748960 is 698477369733.

3379637748960 is a `hidden beast` number, since 3 + 3 + 79 + 6 + 3 + 77 + 489 + 6 + 0 = 666.

It is a super-2 number, since 2×3379637748960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 255 ways as a sum of consecutive naturals, for example, 20733973839 + ... + 20733974001.

It is an arithmetic number, because the mean of its divisors is an integer number (8830760400).

Almost surely, 2^{3379637748960} is an apocalyptic number.

3379637748960 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 3379637748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6782023987200).

3379637748960 is an abundant number, since it is smaller than the sum of its proper divisors (10184410225440).

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

3379637748960 is a wasteful number, since it uses less digits than its factorization.

3379637748960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 864162432, while the sum is 72.

The spelling of 3379637748960 in words is "three trillion, three hundred seventy-nine billion, six hundred thirty-seven million, seven hundred forty-eight thousand, nine hundred sixty".