3954336723360 has 384 divisors, whose sum is σ = 14666430240000. Its totient is φ = 992282628096.

The previous prime is 3954336723307. The next prime is 3954336723397. The reversal of 3954336723360 is 633276334593.

3954336723360 is a `hidden beast` number, since 3 + 9 + 5 + 43 + 367 + 233 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3954336723297 and 3954336723306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12068254 + ... + 12391586.

It is an arithmetic number, because the mean of its divisors is an integer number (38193828750).

Almost surely, 2^{3954336723360} is an apocalyptic number.

3954336723360 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 3954336723360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7333215120000).

3954336723360 is an abundant number, since it is smaller than the sum of its proper divisors (10712093516640).

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

3954336723360 is a wasteful number, since it uses less digits than its factorization.

3954336723360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323525 (or 323511 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 54.

The spelling of 3954336723360 in words is "three trillion, nine hundred fifty-four billion, three hundred thirty-six million, seven hundred twenty-three thousand, three hundred sixty".