3981214740300 has 288 divisors, whose sum is σ = 13223430979584. Its totient is φ = 905927328000.

The previous prime is 3981214740253. The next prime is 3981214740301. The reversal of 3981214740300 is 30474121893.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3981214740301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1174051605 + ... + 1174054995.

Almost surely, 2^{3981214740300} is an apocalyptic number.

3981214740300 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 3981214740300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6611715489792).

3981214740300 is an abundant number, since it is smaller than the sum of its proper divisors (9242216239284).

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

3981214740300 is a wasteful number, since it uses less digits than its factorization.

3981214740300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749 (or 5742 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 3981214740300 in words is "three trillion, nine hundred eighty-one billion, two hundred fourteen million, seven hundred forty thousand, three hundred".