3951381870720 has 384 divisors, whose sum is σ = 14606213544000. Its totient is φ = 981322850304.

The previous prime is 3951381870617. The next prime is 3951381870727. The reversal of 3951381870720 is 270781831593.

It is a happy number.

3951381870720 is a `hidden beast` number, since 39 + 513 + 8 + 1 + 8 + 70 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3951381870720² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3951381870727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6150982 + ... + 6762938.

Almost surely, 2^{3951381870720} is an apocalyptic number.

3951381870720 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 3951381870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7303106772000).

3951381870720 is an abundant number, since it is smaller than the sum of its proper divisors (10654831673280).

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

3951381870720 is a wasteful number, since it uses less digits than its factorization.

3951381870720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612060 (or 612045 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 3951381870720 in words is "three trillion, nine hundred fifty-one billion, three hundred eighty-one million, eight hundred seventy thousand, seven hundred twenty".