3441368253960 has 1536 divisors, whose sum is σ = 14797956096000. Its totient is φ = 692621383680.

The previous prime is 3441368253959. The next prime is 3441368254001. The reversal of 3441368253960 is 693528631443.

3441368253960 is a `hidden beast` number, since 3 + 4 + 41 + 3 + 6 + 8 + 2 + 539 + 60 = 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 = 3441368253897 and 3441368253906.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7839107421 + ... + 7839107859.

It is an arithmetic number, because the mean of its divisors is an integer number (9634086000).

Almost surely, 2^{3441368253960} is an apocalyptic number.

3441368253960 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 3441368253960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398978048000).

3441368253960 is an abundant number, since it is smaller than the sum of its proper divisors (11356587842040).

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

3441368253960 is a wasteful number, since it uses less digits than its factorization.

3441368253960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3441368253960 in words is "three trillion, four hundred forty-one billion, three hundred sixty-eight million, two hundred fifty-three thousand, nine hundred sixty".