38924728145760 has 48 divisors (see below), whose sum is σ = 122612893660656. Its totient is φ = 10379927505408.

The previous prime is 38924728145729. The next prime is 38924728145789. The reversal of 38924728145760 is 6754182742983.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×38924728145760² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38924728145691 and 38924728145700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40546591339 + ... + 40546592298.

It is an arithmetic number, because the mean of its divisors is an integer number (2554435284597).

It is a 1-persistent number, because it is pandigital, but 2⋅38924728145760 = 77849456291520 is not.

Almost surely, 2^{38924728145760} is an apocalyptic number.

38924728145760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38924728145760 is an abundant number, since it is smaller than the sum of its proper divisors (83688165514896).

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

38924728145760 is a wasteful number, since it uses less digits than its factorization.

38924728145760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81093183655 (or 81093183647 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 38924728145760 in words is "thirty-eight trillion, nine hundred twenty-four billion, seven hundred twenty-eight million, one hundred forty-five thousand, seven hundred sixty".