38015293680 has 640 divisors, whose sum is σ = 164489472000. Its totient is φ = 8018777088.

The previous prime is 38015293661. The next prime is 38015293691. The reversal of 38015293680 is 8639251083.

It is a happy number.

38015293680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9629467 + ... + 9633413.

It is an arithmetic number, because the mean of its divisors is an integer number (257014800).

Almost surely, 2^38015293680 is an apocalyptic number.

38015293680 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 38015293680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82244736000).

38015293680 is an abundant number, since it is smaller than the sum of its proper divisors (126474178320).

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

38015293680 is a wasteful number, since it uses less digits than its factorization.

38015293680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 38015293680 in words is "thirty-eight billion, fifteen million, two hundred ninety-three thousand, six hundred eighty".