38329148970 has 640 divisors, whose sum is σ = 129843648000. Its totient is φ = 8083805184.

The previous prime is 38329148959. The next prime is 38329148971. The reversal of 38329148970 is 7984192383.

38329148970 is a `hidden beast` number, since 3 + 8 + 3 + 2 + 91 + 489 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38329148971) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 279774742 + ... + 279774878.

It is an arithmetic number, because the mean of its divisors is an integer number (202880700).

Almost surely, 2^38329148970 is an apocalyptic number.

38329148970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38329148970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64921824000).

38329148970 is an abundant number, since it is smaller than the sum of its proper divisors (91514499030).

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

38329148970 is a wasteful number, since it uses less digits than its factorization.

38329148970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 38329148970 in words is "thirty-eight billion, three hundred twenty-nine million, one hundred forty-eight thousand, nine hundred seventy".