3728918111040 has 168 divisors, whose sum is σ = 12838351019208. Its totient is φ = 993414758400.

The previous prime is 3728918110999. The next prime is 3728918111059. The reversal of 3728918111040 is 401118198273.

It is a happy number.

3728918111040 is a `hidden beast` number, since 372 + 8 + 91 + 81 + 110 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1786841745984 + 1942076365056 = 1336728^2 + 1393584^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2348340 + ... + 3601740.

Almost surely, 2^{3728918111040} is an apocalyptic number.

3728918111040 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 3728918111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6419175509604).

3728918111040 is an abundant number, since it is smaller than the sum of its proper divisors (9109432908168).

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

3728918111040 is a wasteful number, since it uses less digits than its factorization.

3728918111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254457 (or 1254444 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 3728918111040 in words is "three trillion, seven hundred twenty-eight billion, nine hundred eighteen million, one hundred eleven thousand, forty".