3778501478400 has 1008 divisors, whose sum is σ = 15324757746480. Its totient is φ = 915900825600.

The previous prime is 3778501478387. The next prime is 3778501478413. The reversal of 3778501478400 is 48741058773.

3778501478400 is a `hidden beast` number, since 377 + 8 + 50 + 147 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3778501478387) and next prime (3778501478413).

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 83 ways as a sum of consecutive naturals, for example, 410568199 + ... + 410577401.

It is an arithmetic number, because the mean of its divisors is an integer number (15203132685).

Almost surely, 2^{3778501478400} is an apocalyptic number.

3778501478400 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 3778501478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7662378873240).

3778501478400 is an abundant number, since it is smaller than the sum of its proper divisors (11546256268080).

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

3778501478400 is an equidigital number, since it uses as much as digits as its factorization.

3778501478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9264 (or 9224 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 3778501478400 in words is "three trillion, seven hundred seventy-eight billion, five hundred one million, four hundred seventy-eight thousand, four hundred".