37481451744 has 144 divisors (see below), whose sum is σ = 108266868864. Its totient is φ = 11345368320.

The previous prime is 37481451739. The next prime is 37481451773. The reversal of 37481451744 is 44715418473.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 37481451693 and 37481451702.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20292229 + ... + 20294075.

It is an arithmetic number, because the mean of its divisors is an integer number (751853256).

Almost surely, 2^37481451744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37481451744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54133434432).

37481451744 is an abundant number, since it is smaller than the sum of its proper divisors (70785417120).

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

37481451744 is a wasteful number, since it uses less digits than its factorization.

37481451744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3610 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 48.

The spelling of 37481451744 in words is "thirty-seven billion, four hundred eighty-one million, four hundred fifty-one thousand, seven hundred forty-four".