38149240320 has 480 divisors, whose sum is σ = 140951951712. Its totient is φ = 9502457856.

The previous prime is 38149240279. The next prime is 38149240321. The reversal of 38149240320 is 2304294183.

38149240320 is a `hidden beast` number, since 381 + 4 + 9 + 240 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×38149240320² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38149240321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67760359 + ... + 67760921.

Almost surely, 2^38149240320 is an apocalyptic number.

38149240320 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 38149240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70475975856).

38149240320 is an abundant number, since it is smaller than the sum of its proper divisors (102802711392).

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

38149240320 is a wasteful number, since it uses less digits than its factorization.

38149240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 38149240320 in words is "thirty-eight billion, one hundred forty-nine million, two hundred forty thousand, three hundred twenty".