3714564000 has 192 divisors, whose sum is σ = 13907642112. Its totient is φ = 849024000.

The previous prime is 3714563981. The next prime is 3714564031. The reversal of 3714564000 is 4654173.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61890 + ... + 106110.

It is an arithmetic number, because the mean of its divisors is an integer number (72435636).

Almost surely, 2^3714564000 is an apocalyptic number.

3714564000 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 3714564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953821056).

3714564000 is an abundant number, since it is smaller than the sum of its proper divisors (10193078112).

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

3714564000 is a wasteful number, since it uses less digits than its factorization.

3714564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44256 (or 44238 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3714564000 is about 60947.2230704566. The cubic root of 3714564000 is about 1548.7070730408.

The spelling of 3714564000 in words is "three billion, seven hundred fourteen million, five hundred sixty-four thousand".