38400420816 has 80 divisors (see below), whose sum is σ = 110352222720. Its totient is φ = 12785184000.

The previous prime is 38400420797. The next prime is 38400420827. The reversal of 38400420816 is 61802400483.

38400420816 is a `hidden beast` number, since 38 + 400 + 4 + 208 + 16 = 666.

It is a super-2 number, since 2×38400420816² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321316 + ... + 424316.

It is an arithmetic number, because the mean of its divisors is an integer number (1379402784).

Almost surely, 2^38400420816 is an apocalyptic number.

38400420816 is a gapful number since it is divisible by the number (36) 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 38400420816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55176111360).

38400420816 is an abundant number, since it is smaller than the sum of its proper divisors (71951801904).

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

38400420816 is a wasteful number, since it uses less digits than its factorization.

38400420816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103881 (or 103869 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 38400420816 in words is "thirty-eight billion, four hundred million, four hundred twenty thousand, eight hundred sixteen".