38072964300 has 144 divisors (see below), whose sum is σ = 125962771200. Its totient is φ = 8697680640.

The previous prime is 38072964271. The next prime is 38072964311. The reversal of 38072964300 is 346927083.

38072964300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38072964300² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5177026 + ... + 5184374.

Almost surely, 2^38072964300 is an apocalyptic number.

38072964300 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 38072964300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62981385600).

38072964300 is an abundant number, since it is smaller than the sum of its proper divisors (87889806900).

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

38072964300 is a wasteful number, since it uses less digits than its factorization.

38072964300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9840 (or 9833 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 38072964300 in words is "thirty-eight billion, seventy-two million, nine hundred sixty-four thousand, three hundred".