37988640 has 288 divisors, whose sum is σ = 143410176. Its totient is φ = 9123840.

The previous prime is 37988627. The next prime is 37988653. The reversal of 37988640 is 4688973.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (37988627) and next prime (37988653).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026702 + ... + 1026738.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 2^37988640 is an apocalyptic number.

37988640 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 37988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71705088).

37988640 is an abundant number, since it is smaller than the sum of its proper divisors (105421536).

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

37988640 is a wasteful number, since it uses less digits than its factorization.

37988640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

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

The square root of 37988640 is about 6163.4925164228. The cubic root of 37988640 is about 336.1640355509.

The spelling of 37988640 in words is "thirty-seven million, nine hundred eighty-eight thousand, six hundred forty".