3714984000 has 1176 divisors, whose sum is σ = 17280303768. Its totient is φ = 783820800.

The previous prime is 3714983981. The next prime is 3714984023. The reversal of 3714984000 is 4894173.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 585252864 + 3129731136 = 24192^2 + 55944^2 .

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-2 number, since 2×3714984000² = 27602212240512000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 285767994 + ... + 285768006.

Almost surely, 2^3714984000 is an apocalyptic number.

3714984000 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 3714984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640151884).

3714984000 is an abundant number, since it is smaller than the sum of its proper divisors (13565319768).

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

3714984000 is an equidigital number, since it uses as much as digits as its factorization.

3714984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3714984000 is about 60950.6685771370. The cubic root of 3714984000 is about 1548.7654408113.

The spelling of 3714984000 in words is "three billion, seven hundred fourteen million, nine hundred eighty-four thousand".