3445986841920 has 1008 divisors, whose sum is σ = 14425135030800. Its totient is φ = 751869296640.

The previous prime is 3445986841897. The next prime is 3445986841943. The reversal of 3445986841920 is 291486895443.

3445986841920 is a `hidden beast` number, since 3 + 4 + 4 + 598 + 6 + 8 + 4 + 19 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3445986841897) and next prime (3445986841943).

It can be written as a sum of positive squares in 8 ways, for example, as 29019803904 + 3416967038016 = 170352^2 + 1848504^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 364225990 + ... + 364235450.

Almost surely, 2^{3445986841920} is an apocalyptic number.

3445986841920 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 3445986841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212567515400).

3445986841920 is an abundant number, since it is smaller than the sum of its proper divisors (10979148188880).

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

3445986841920 is a wasteful number, since it uses less digits than its factorization.

3445986841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9616 (or 9596 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 3445986841920 in words is "three trillion, four hundred forty-five billion, nine hundred eighty-six million, eight hundred forty-one thousand, nine hundred twenty".