3738306240 has 336 divisors, whose sum is σ = 13801039200. Its totient is φ = 925876224.

The previous prime is 3738306203. The next prime is 3738306251. The reversal of 3738306240 is 426038373.

3738306240 is a `hidden beast` number, since 37 + 383 + 0 + 6 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3738306195 and 3738306204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2899516 + ... + 2900804.

Almost surely, 2^3738306240 is an apocalyptic number.

3738306240 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 3738306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900519600).

3738306240 is an abundant number, since it is smaller than the sum of its proper divisors (10062732960).

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

3738306240 is a wasteful number, since it uses less digits than its factorization.

3738306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3738306240 is about 61141.6898686976. The cubic root of 3738306240 is about 1551.9996722995. Note that the first 3 decimals are identical.

The spelling of 3738306240 in words is "three billion, seven hundred thirty-eight million, three hundred six thousand, two hundred forty".