3774430876320 has 1536 divisors, whose sum is σ = 15183626895360. Its totient is φ = 869100503040.

The previous prime is 3774430876313. The next prime is 3774430876361. The reversal of 3774430876320 is 236780344773.

It is a happy number.

3774430876320 is a `hidden beast` number, since 3 + 7 + 7 + 4 + 4 + 308 + 7 + 6 + 320 = 666.

3774430876320 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 (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9507382362 + ... + 9507382758.

It is an arithmetic number, because the mean of its divisors is an integer number (9885173760).

Almost surely, 2^{3774430876320} is an apocalyptic number.

3774430876320 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 3774430876320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7591813447680).

3774430876320 is an abundant number, since it is smaller than the sum of its proper divisors (11409196019040).

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

3774430876320 is a wasteful number, since it uses less digits than its factorization.

3774430876320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 3774430876320 in words is "three trillion, seven hundred seventy-four billion, four hundred thirty million, eight hundred seventy-six thousand, three hundred twenty".