37990149120 has 1408 divisors, whose sum is σ = 174314004480. Its totient is φ = 7617576960.

The previous prime is 37990149091. The next prime is 37990149121. The reversal of 37990149120 is 2194109973.

37990149120 is a `hidden beast` number, since 3 + 79 + 90 + 1 + 491 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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 (37990149121) 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, 457712599 + ... + 457712681.

It is an arithmetic number, because the mean of its divisors is an integer number (123802560).

Almost surely, 2^37990149120 is an apocalyptic number.

37990149120 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 37990149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87157002240).

37990149120 is an abundant number, since it is smaller than the sum of its proper divisors (136323855360).

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

37990149120 is a wasteful number, since it uses less digits than its factorization.

37990149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 37990149120 in words is "thirty-seven billion, nine hundred ninety million, one hundred forty-nine thousand, one hundred twenty".