38747094144 has 256 divisors, whose sum is σ = 121138104960. Its totient is φ = 10841292800.

The previous prime is 38747094137. The next prime is 38747094151. The reversal of 38747094144 is 44149074783.

It is an interprime number because it is at equal distance from previous prime (38747094137) and next prime (38747094151).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3800734 + ... + 3810914.

Almost surely, 2^38747094144 is an apocalyptic number.

38747094144 is a gapful number since it is divisible by the number (34) 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 38747094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60569052480).

38747094144 is an abundant number, since it is smaller than the sum of its proper divisors (82391010816).

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

38747094144 is a wasteful number, since it uses less digits than its factorization.

38747094144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10279 (or 10267 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 38747094144 in words is "thirty-eight billion, seven hundred forty-seven million, ninety-four thousand, one hundred forty-four".