37420935552 has 1024 divisors, whose sum is σ = 153812736000. Its totient is φ = 8639447040.

The previous prime is 37420935527. The next prime is 37420935553. The reversal of 37420935552 is 25553902473.

37420935552 is a `hidden beast` number, since 3 + 7 + 4 + 2 + 0 + 93 + 5 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 37420935498 and 37420935507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37420935553) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100324038 + ... + 100324410.

It is an arithmetic number, because the mean of its divisors is an integer number (150207750).

Almost surely, 2^37420935552 is an apocalyptic number.

37420935552 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 37420935552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76906368000).

37420935552 is an abundant number, since it is smaller than the sum of its proper divisors (116391800448).

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

37420935552 is a wasteful number, since it uses less digits than its factorization.

37420935552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 37420935552 in words is "thirty-seven billion, four hundred twenty million, nine hundred thirty-five thousand, five hundred fifty-two".