3778544640 has 352 divisors, whose sum is σ = 13205606400. Its totient is φ = 916586496.

The previous prime is 3778544603. The next prime is 3778544657. The reversal of 3778544640 is 464458773.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3778544640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25359286 + ... + 25359434.

Almost surely, 2^3778544640 is an apocalyptic number.

3778544640 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 3778544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602803200).

3778544640 is an abundant number, since it is smaller than the sum of its proper divisors (9427061760).

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

3778544640 is a wasteful number, since it uses less digits than its factorization.

3778544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The square root of 3778544640 is about 61469.8677402189. The cubic root of 3778544640 is about 1557.5482856275.

The spelling of 3778544640 in words is "three billion, seven hundred seventy-eight million, five hundred forty-four thousand, six hundred forty".