3778356240 has 80 divisors (see below), whose sum is σ = 13014345600. Its totient is φ = 1007561088.

The previous prime is 3778356227. The next prime is 3778356289. The reversal of 3778356240 is 426538773.

3778356240 is a `hidden beast` number, since 3 + 7 + 7 + 83 + 562 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 872460 + ... + 876779.

It is an arithmetic number, because the mean of its divisors is an integer number (162679320).

Almost surely, 2^3778356240 is an apocalyptic number.

3778356240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3778356240 is an abundant number, since it is smaller than the sum of its proper divisors (9235989360).

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

3778356240 is a wasteful number, since it uses less digits than its factorization.

3778356240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749261 (or 1749249 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3778356240 is about 61468.3352629628. The cubic root of 3778356240 is about 1557.5223985023.

The spelling of 3778356240 in words is "three billion, seven hundred seventy-eight million, three hundred fifty-six thousand, two hundred forty".