3728935440 has 400 divisors, whose sum is σ = 14086955520. Its totient is φ = 910725120.

The previous prime is 3728935423. The next prime is 3728935481. The reversal of 3728935440 is 445398273.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3816232 + ... + 3817208.

Almost surely, 2^3728935440 is an apocalyptic number.

3728935440 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 3728935440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7043477760).

3728935440 is an abundant number, since it is smaller than the sum of its proper divisors (10358020080).

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

3728935440 is a wasteful number, since it uses less digits than its factorization.

3728935440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3728935440 is about 61065.0099484148. The cubic root of 3728935440 is about 1550.7017897313.

The spelling of 3728935440 in words is "three billion, seven hundred twenty-eight million, nine hundred thirty-five thousand, four hundred forty".