38829037879296 has 640 divisors, whose sum is σ = 132785125397760. Its totient is φ = 11076710694912.

The previous prime is 38829037879277. The next prime is 38829037879301. The reversal of 38829037879296 is 69297873092883.

38829037879296 is a `hidden beast` number, since 3 + 8 + 8 + 2 + 90 + 378 + 79 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16294181721 + ... + 16294184103.

It is an arithmetic number, because the mean of its divisors is an integer number (207476758434).

Almost surely, 2^{38829037879296} is an apocalyptic number.

38829037879296 is a gapful number since it is divisible by the number (36) 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 38829037879296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66392562698880).

38829037879296 is an abundant number, since it is smaller than the sum of its proper divisors (93956087518464).

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

38829037879296 is an frugal number, since it uses more digits than its factorization.

38829037879296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 3950456832, while the sum is 81.

The spelling of 38829037879296 in words is "thirty-eight trillion, eight hundred twenty-nine billion, thirty-seven million, eight hundred seventy-nine thousand, two hundred ninety-six".