38810684552640 has 896 divisors, whose sum is σ = 165543343515648. Its totient is φ = 7439895429120.

The previous prime is 38810684552621. The next prime is 38810684552677. The reversal of 38810684552640 is 4625548601883.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 1803711162 + ... + 1803732678.

It is an arithmetic number, because the mean of its divisors is an integer number (184758195888).

Almost surely, 2^{38810684552640} is an apocalyptic number.

38810684552640 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 38810684552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82771671757824).

38810684552640 is an abundant number, since it is smaller than the sum of its proper divisors (126732658963008).

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

38810684552640 is a wasteful number, since it uses less digits than its factorization.

38810684552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23445 (or 23435 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 60.

The spelling of 38810684552640 in words is "thirty-eight trillion, eight hundred ten billion, six hundred eighty-four million, five hundred fifty-two thousand, six hundred forty".