37982257152 has 240 divisors, whose sum is σ = 117004927872. Its totient is φ = 10734796800.

The previous prime is 37982257151. The next prime is 37982257153. The reversal of 37982257152 is 25175228973.

It is an interprime number because it is at equal distance from previous prime (37982257151) and next prime (37982257153).

It is a super-2 number, since 2×37982257152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37982257095 and 37982257104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37982257151) 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, 34749918 + ... + 34751010.

Almost surely, 2^37982257152 is an apocalyptic number.

37982257152 is a gapful number since it is divisible by the number (32) 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 37982257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58502463936).

37982257152 is an abundant number, since it is smaller than the sum of its proper divisors (79022670720).

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

37982257152 is a wasteful number, since it uses less digits than its factorization.

37982257152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1206 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The spelling of 37982257152 in words is "thirty-seven billion, nine hundred eighty-two million, two hundred fifty-seven thousand, one hundred fifty-two".