3974007800 has 288 divisors, whose sum is σ = 11290705920. Its totient is φ = 1295481600.

The previous prime is 3974007773. The next prime is 3974007803. The reversal of 3974007800 is 87004793.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3974007803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31291337 + ... + 31291463.

It is an arithmetic number, because the mean of its divisors is an integer number (39203840).

Almost surely, 2^3974007800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3974007800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645352960).

3974007800 is an abundant number, since it is smaller than the sum of its proper divisors (7316698120).

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

3974007800 is a wasteful number, since it uses less digits than its factorization.

3974007800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 3974007800 is about 63039.7319156736. The cubic root of 3974007800 is about 1583.9552403347.

The spelling of 3974007800 in words is "three billion, nine hundred seventy-four million, seven thousand, eight hundred".