37343761056 has 288 divisors, whose sum is σ = 124700179968. Its totient is φ = 10380648960.

The previous prime is 37343761001. The next prime is 37343761079. The reversal of 37343761056 is 65016734373.

It is a happy number.

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

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, 11209311 + ... + 11212641.

It is an arithmetic number, because the mean of its divisors is an integer number (432986736).

Almost surely, 2^37343761056 is an apocalyptic number.

37343761056 is a gapful number since it is divisible by the number (36) 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 37343761056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62350089984).

37343761056 is an abundant number, since it is smaller than the sum of its proper divisors (87356418912).

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

37343761056 is a wasteful number, since it uses less digits than its factorization.

37343761056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 37343761056 in words is "thirty-seven billion, three hundred forty-three million, seven hundred sixty-one thousand, fifty-six".