38970836100 has 288 divisors, whose sum is σ = 144050780160. Its totient is φ = 8853563520.

The previous prime is 38970836089. The next prime is 38970836129. The reversal of 38970836100 is 163807983.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3150127 + ... + 3162473.

It is an arithmetic number, because the mean of its divisors is an integer number (500176320).

Almost surely, 2^38970836100 is an apocalyptic number.

38970836100 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 38970836100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72025390080).

38970836100 is an abundant number, since it is smaller than the sum of its proper divisors (105079944060).

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

38970836100 is a wasteful number, since it uses less digits than its factorization.

38970836100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12544 (or 12531 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 38970836100 in words is "thirty-eight billion, nine hundred seventy million, eight hundred thirty-six thousand, one hundred".