3724327880064 has 1280 divisors, whose sum is σ = 13265645659200. Its totient is φ = 1024311951360.

The previous prime is 3724327880051. The next prime is 3724327880107. The reversal of 3724327880064 is 4600887234273.

It is a happy number.

3724327880064 is a `hidden beast` number, since 3 + 7 + 2 + 432 + 78 + 80 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13845084922 + ... + 13845085190.

Almost surely, 2^{3724327880064} is an apocalyptic number.

3724327880064 is a gapful number since it is divisible by the number (34) 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 3724327880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632822829600).

3724327880064 is an abundant number, since it is smaller than the sum of its proper divisors (9541317779136).

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

3724327880064 is a wasteful number, since it uses less digits than its factorization.

3724327880064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 3724327880064 in words is "three trillion, seven hundred twenty-four billion, three hundred twenty-seven million, eight hundred eighty thousand, sixty-four".