3780609638400 has 1632 divisors, whose sum is σ = 16460839891200. Its totient is φ = 832359628800.

The previous prime is 3780609638389. The next prime is 3780609638501. The reversal of 3780609638400 is 48369060873.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8980070190 + ... + 8980070610.

Almost surely, 2^{3780609638400} is an apocalyptic number.

3780609638400 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 3780609638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8230419945600).

3780609638400 is an abundant number, since it is smaller than the sum of its proper divisors (12680230252800).

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

3780609638400 is an equidigital number, since it uses as much as digits as its factorization.

3780609638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3780609638400 in words is "three trillion, seven hundred eighty billion, six hundred nine million, six hundred thirty-eight thousand, four hundred".