3724966103040 has 1920 divisors, whose sum is σ = 17405145838080. Its totient is φ = 739441115136.

The previous prime is 3724966102997. The next prime is 3724966103069. The reversal of 3724966103040 is 403016694273.

3724966103040 is a `hidden beast` number, since 3 + 7 + 24 + 9 + 6 + 610 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1283142229 + ... + 1283145131.

It is an arithmetic number, because the mean of its divisors is an integer number (9065180124).

Almost surely, 2^{3724966103040} is an apocalyptic number.

3724966103040 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 3724966103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8702572919040).

3724966103040 is an abundant number, since it is smaller than the sum of its proper divisors (13680179735040).

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

3724966103040 is a wasteful number, since it uses less digits than its factorization.

3724966103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 3724966103040 in words is "three trillion, seven hundred twenty-four billion, nine hundred sixty-six million, one hundred three thousand, forty".