37461384480 has 384 divisors, whose sum is σ = 130691232000. Its totient is φ = 8962965504.

The previous prime is 37461384469. The next prime is 37461384503. The reversal of 37461384480 is 8448316473.

It is a happy number.

37461384480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35710996 + ... + 35712044.

It is an arithmetic number, because the mean of its divisors is an integer number (340341750).

Almost surely, 2^37461384480 is an apocalyptic number.

37461384480 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 37461384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65345616000).

37461384480 is an abundant number, since it is smaller than the sum of its proper divisors (93229847520).

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

37461384480 is a wasteful number, since it uses less digits than its factorization.

37461384480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 37461384480 in words is "thirty-seven billion, four hundred sixty-one million, three hundred eighty-four thousand, four hundred eighty".