38401582340760 has 128 divisors (see below), whose sum is σ = 122025126525120. Its totient is φ = 9634596913152.

The previous prime is 38401582340701. The next prime is 38401582340773. The reversal of 38401582340760 is 6704328510483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2340792 + ... + 9070968.

Almost surely, 2^{38401582340760} is an apocalyptic number.

38401582340760 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 38401582340760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61012563262560).

38401582340760 is an abundant number, since it is smaller than the sum of its proper divisors (83623544184360).

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

38401582340760 is a wasteful number, since it uses less digits than its factorization.

38401582340760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6733005 (or 6733001 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 38401582340760 in words is "thirty-eight trillion, four hundred one billion, five hundred eighty-two million, three hundred forty thousand, seven hundred sixty".