3308138057952 has 672 divisors, whose sum is σ = 12090736969920. Its totient is φ = 872381352960.

The previous prime is 3308138057951. The next prime is 3308138057953. The reversal of 3308138057952 is 2597508318033.

3308138057952 is a `hidden beast` number, since 3 + 3 + 0 + 8 + 13 + 8 + 0 + 579 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (3308138057951) and next prime (3308138057953).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3308138057952² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3308138057951) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 358756702 + ... + 358765922.

It is an arithmetic number, because the mean of its divisors is an integer number (17992168110).

Almost surely, 2^{3308138057952} is an apocalyptic number.

3308138057952 is a gapful number since it is divisible by the number (32) 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 3308138057952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045368484960).

3308138057952 is an abundant number, since it is smaller than the sum of its proper divisors (8782598911968).

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

3308138057952 is an frugal number, since it uses more digits than its factorization.

3308138057952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9295 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3308138057952 in words is "three trillion, three hundred eight billion, one hundred thirty-eight million, fifty-seven thousand, nine hundred fifty-two".