37946880000 has 780 divisors, whose sum is σ = 144371355128. Its totient is φ = 9953280000.

The previous prime is 37946879969. The next prime is 37946880007. The reversal of 37946880000 is 8864973.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37946880007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 622079970 + ... + 622080030.

Almost surely, 2^37946880000 is an apocalyptic number.

37946880000 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 37946880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72185677564).

37946880000 is an abundant number, since it is smaller than the sum of its proper divisors (106424475128).

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

37946880000 is an frugal number, since it uses more digits than its factorization.

37946880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 37946880000 in words is "thirty-seven billion, nine hundred forty-six million, eight hundred eighty thousand".