3778891440 has 160 divisors (see below), whose sum is σ = 11956377600. Its totient is φ = 987048960.

The previous prime is 3778891409. The next prime is 3778891453. The reversal of 3778891440 is 441988773.

3778891440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 5255401 + ... + 5256119.

It is an arithmetic number, because the mean of its divisors is an integer number (74727360).

Almost surely, 2^3778891440 is an apocalyptic number.

3778891440 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 3778891440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978188800).

3778891440 is an abundant number, since it is smaller than the sum of its proper divisors (8177486160).

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

3778891440 is a wasteful number, since it uses less digits than its factorization.

3778891440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 3778891440 is about 61472.6885698031. The cubic root of 3778891440 is about 1557.5959354744.

The spelling of 3778891440 in words is "three billion, seven hundred seventy-eight million, eight hundred ninety-one thousand, four hundred forty".