3874080000 has 360 divisors, whose sum is σ = 14737632448. Its totient is φ = 884736000.

The previous prime is 3874079999. The next prime is 3874080019. The reversal of 3874080000 is 804783.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3874080000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3359424 + ... + 3360576.

Almost surely, 2^3874080000 is an apocalyptic number.

3874080000 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 3874080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368816224).

3874080000 is an abundant number, since it is smaller than the sum of its proper divisors (10863552448).

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

3874080000 is an equidigital number, since it uses as much as digits as its factorization.

3874080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3874080000 is about 62242.1079334561. The cubic root of 3874080000 is about 1570.5660122624.

Adding to 3874080000 its reverse (804783), we get a palindrome (3874884783).

The spelling of 3874080000 in words is "three billion, eight hundred seventy-four million, eighty thousand".