3739921968960 has 1120 divisors, whose sum is σ = 14073099583488. Its totient is φ = 941525544960.

The previous prime is 3739921968953. The next prime is 3739921968961. The reversal of 3739921968960 is 698691299373.

3739921968960 is a `hidden beast` number, since 373 + 9 + 9 + 2 + 196 + 8 + 9 + 60 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3739921968961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6837151407 + ... + 6837151953.

Almost surely, 2^{3739921968960} is an apocalyptic number.

3739921968960 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 3739921968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036549791744).

3739921968960 is an abundant number, since it is smaller than the sum of its proper divisors (10333177614528).

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

3739921968960 is a wasteful number, since it uses less digits than its factorization.

3739921968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 72.

The spelling of 3739921968960 in words is "three trillion, seven hundred thirty-nine billion, nine hundred twenty-one million, nine hundred sixty-eight thousand, nine hundred sixty".