37801948080 has 320 divisors, whose sum is σ = 135943299072. Its totient is φ = 8612904960.

The previous prime is 37801948073. The next prime is 37801948097. The reversal of 37801948080 is 8084910873.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2216064 + ... + 2233056.

Almost surely, 2^37801948080 is an apocalyptic number.

37801948080 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 37801948080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67971649536).

37801948080 is an abundant number, since it is smaller than the sum of its proper divisors (98141350992).

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

37801948080 is a wasteful number, since it uses less digits than its factorization.

37801948080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17076 (or 17070 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 37801948080 in words is "thirty-seven billion, eight hundred one million, nine hundred forty-eight thousand, eighty".