2938329934848 has 2464 divisors, whose sum is σ = 12124331347968. Its totient is φ = 687970713600.

The previous prime is 2938329934829. The next prime is 2938329934849. The reversal of 2938329934848 is 8484399238392.

2938329934848 is a `hidden beast` number, since 2 + 9 + 38 + 3 + 29 + 93 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2464).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2938329934849) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 30292061136 + ... + 30292061232.

Almost surely, 2^{2938329934848} is an apocalyptic number.

2938329934848 is a gapful number since it is divisible by the number (28) 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 2938329934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062165673984).

2938329934848 is an abundant number, since it is smaller than the sum of its proper divisors (9186001413120).

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

2938329934848 is a wasteful number, since it uses less digits than its factorization.

2938329934848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 168 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 2938329934848 in words is "two trillion, nine hundred thirty-eight billion, three hundred twenty-nine million, nine hundred thirty-four thousand, eight hundred forty-eight".