38132740800 has 1512 divisors, whose sum is σ = 182740736880. Its totient is φ = 7457587200.

The previous prime is 38132740781. The next prime is 38132740837. The reversal of 38132740800 is 804723183.

38132740800 is a `hidden beast` number, since 381 + 3 + 274 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2243102392 + ... + 2243102408.

Almost surely, 2^38132740800 is an apocalyptic number.

38132740800 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 38132740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91370368440).

38132740800 is an abundant number, since it is smaller than the sum of its proper divisors (144607996080).

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

38132740800 is a wasteful number, since it uses less digits than its factorization.

38132740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 38132740800 in words is "thirty-eight billion, one hundred thirty-two million, seven hundred forty thousand, eight hundred".