38698767360 has 880 divisors, whose sum is σ = 160501176000. Its totient is φ = 8811970560.

The previous prime is 38698767311. The next prime is 38698767397. The reversal of 38698767360 is 6376789683.

It is a tau number, because it is divible by the number of its divisors (880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77552391 + ... + 77552889.

It is an arithmetic number, because the mean of its divisors is an integer number (182387700).

Almost surely, 2^38698767360 is an apocalyptic number.

38698767360 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 38698767360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80250588000).

38698767360 is an abundant number, since it is smaller than the sum of its proper divisors (121802408640).

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

38698767360 is a wasteful number, since it uses less digits than its factorization.

38698767360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 38698767360 in words is "thirty-eight billion, six hundred ninety-eight million, seven hundred sixty-seven thousand, three hundred sixty".