3728733080400 has 480 divisors, whose sum is σ = 13602377169920. Its totient is φ = 969616811520.

The previous prime is 3728733080311. The next prime is 3728733080467. The reversal of 3728733080400 is 40803378273.

3728733080400 is a `hidden beast` number, since 3 + 72 + 8 + 73 + 30 + 80 + 400 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 298602957 + ... + 298615443.

Almost surely, 2^{3728733080400} is an apocalyptic number.

3728733080400 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 3728733080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801188584960).

3728733080400 is an abundant number, since it is smaller than the sum of its proper divisors (9873644089520).

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

3728733080400 is a wasteful number, since it uses less digits than its factorization.

3728733080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13200 (or 13183 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 3728733080400 in words is "three trillion, seven hundred twenty-eight billion, seven hundred thirty-three million, eighty thousand, four hundred".