37621342080 has 1024 divisors, whose sum is σ = 160432128000. Its totient is φ = 8151736320.

The previous prime is 37621342063. The next prime is 37621342081. The reversal of 37621342080 is 8024312673.

It is a happy number.

37621342080 is a `hidden beast` number, since 3 + 7 + 621 + 3 + 4 + 20 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37621342081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 296230977 + ... + 296231103.

It is an arithmetic number, because the mean of its divisors is an integer number (156672000).

Almost surely, 2^37621342080 is an apocalyptic number.

37621342080 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 37621342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80216064000).

37621342080 is an abundant number, since it is smaller than the sum of its proper divisors (122810785920).

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

37621342080 is a wasteful number, since it uses less digits than its factorization.

37621342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 37621342080 in words is "thirty-seven billion, six hundred twenty-one million, three hundred forty-two thousand, eighty".