3800972636370 has 384 divisors, whose sum is σ = 12719724192000. Its totient is φ = 800575985664.

The previous prime is 3800972636333. The next prime is 3800972636413. The reversal of 3800972636370 is 736362790083.

3800972636370 is a `hidden beast` number, since 3 + 8 + 0 + 0 + 9 + 7 + 263 + 6 + 370 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100939306 + ... + 100976954.

It is an arithmetic number, because the mean of its divisors is an integer number (33124281750).

Almost surely, 2^{3800972636370} is an apocalyptic number.

3800972636370 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 3800972636370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6359862096000).

3800972636370 is an abundant number, since it is smaller than the sum of its proper divisors (8918751555630).

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

3800972636370 is a wasteful number, since it uses less digits than its factorization.

3800972636370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38279 (or 38266 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 3800972636370 in words is "three trillion, eight hundred billion, nine hundred seventy-two million, six hundred thirty-six thousand, three hundred seventy".