38444261376 has 224 divisors, whose sum is σ = 106218459648. Its totient is φ = 12360089600.

The previous prime is 38444261371. The next prime is 38444261407. The reversal of 38444261376 is 67316244483.

It is a super-2 number, since 2×38444261376² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38444261371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95870776 + ... + 95871176.

It is an arithmetic number, because the mean of its divisors is an integer number (474189552).

Almost surely, 2^38444261376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38444261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53109229824).

38444261376 is an abundant number, since it is smaller than the sum of its proper divisors (67774198272).

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

38444261376 is an equidigital number, since it uses as much as digits as its factorization.

38444261376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 536 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The spelling of 38444261376 in words is "thirty-eight billion, four hundred forty-four million, two hundred sixty-one thousand, three hundred seventy-six".