3955376532240 has 720 divisors, whose sum is σ = 15830695520640. Its totient is φ = 900274176000.

The previous prime is 3955376532197. The next prime is 3955376532241. The reversal of 3955376532240 is 422356735593.

3955376532240 is a `hidden beast` number, since 3 + 9 + 5 + 537 + 65 + 3 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (3955376532241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 922212016 + ... + 922216304.

It is an arithmetic number, because the mean of its divisors is an integer number (21987077112).

Almost surely, 2^{3955376532240} is an apocalyptic number.

3955376532240 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 3955376532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7915347760320).

3955376532240 is an abundant number, since it is smaller than the sum of its proper divisors (11875318988400).

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

3955376532240 is an equidigital number, since it uses as much as digits as its factorization.

3955376532240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 54.

The spelling of 3955376532240 in words is "three trillion, nine hundred fifty-five billion, three hundred seventy-six million, five hundred thirty-two thousand, two hundred forty".