37858045680 has 1600 divisors, whose sum is σ = 177455308800. Its totient is φ = 7255941120.

The previous prime is 37858045663. The next prime is 37858045741. The reversal of 37858045680 is 8654085873.

37858045680 is a `hidden beast` number, since 3 + 7 + 8 + 580 + 4 + 56 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 347321466 + ... + 347321574.

It is an arithmetic number, because the mean of its divisors is an integer number (110909568).

Almost surely, 2^37858045680 is an apocalyptic number.

37858045680 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 37858045680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88727654400).

37858045680 is an abundant number, since it is smaller than the sum of its proper divisors (139597263120).

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

37858045680 is a wasteful number, since it uses less digits than its factorization.

37858045680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 37858045680 in words is "thirty-seven billion, eight hundred fifty-eight million, forty-five thousand, six hundred eighty".