3382550979840 has 1296 divisors, whose sum is σ = 12823374677568. Its totient is φ = 853465890816.

The previous prime is 3382550979793. The next prime is 3382550979877. The reversal of 3382550979840 is 489790552833.

3382550979840 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 550 + 9 + 79 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×3382550979840² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17526170784 + ... + 17526170976.

Almost surely, 2^{3382550979840} is an apocalyptic number.

3382550979840 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 3382550979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6411687338784).

3382550979840 is an abundant number, since it is smaller than the sum of its proper divisors (9440823697728).

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

3382550979840 is an equidigital number, since it uses as much as digits as its factorization.

3382550979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 3382550979840 in words is "three trillion, three hundred eighty-two billion, five hundred fifty million, nine hundred seventy-nine thousand, eight hundred forty".