3980929144320 has 640 divisors, whose sum is σ = 14774804352000. Its totient is φ = 1014090891264.

The previous prime is 3980929144307. The next prime is 3980929144327. The reversal of 3980929144320 is 234419290893.

3980929144320 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 92 + 91 + 443 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3980929144327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1896582631 + ... + 1896584729.

It is an arithmetic number, because the mean of its divisors is an integer number (23085631800).

Almost surely, 2^{3980929144320} is an apocalyptic number.

3980929144320 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 3980929144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387402176000).

3980929144320 is an abundant number, since it is smaller than the sum of its proper divisors (10793875207680).

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

3980929144320 is a wasteful number, since it uses less digits than its factorization.

3980929144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3980929144320 in words is "three trillion, nine hundred eighty billion, nine hundred twenty-nine million, one hundred forty-four thousand, three hundred twenty".