37728914220 has 144 divisors (see below), whose sum is σ = 117796180320. Its totient is φ = 9768729600.

The previous prime is 37728914159. The next prime is 37728914221. The reversal of 37728914220 is 2241982773.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (37728914221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1545066 + ... + 1569294.

It is an arithmetic number, because the mean of its divisors is an integer number (818029030).

Almost surely, 2^37728914220 is an apocalyptic number.

37728914220 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 37728914220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58898090160).

37728914220 is an abundant number, since it is smaller than the sum of its proper divisors (80067266100).

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

37728914220 is a wasteful number, since it uses less digits than its factorization.

37728914220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24496 (or 24491 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 37728914220 in words is "thirty-seven billion, seven hundred twenty-eight million, nine hundred fourteen thousand, two hundred twenty".