3405355454400 has 168 divisors, whose sum is σ = 11658160746624. Its totient is φ = 868612377600.

The previous prime is 3405355454381. The next prime is 3405355454407. The reversal of 3405355454400 is 44545535043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405355454407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15312406 + ... + 15533205.

It is an arithmetic number, because the mean of its divisors is an integer number (69393813968).

Almost surely, 2^{3405355454400} is an apocalyptic number.

3405355454400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3405355454400 is an abundant number, since it is smaller than the sum of its proper divisors (8252805292224).

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

3405355454400 is a wasteful number, since it uses less digits than its factorization.

3405355454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30845659 (or 30845644 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 42.

The spelling of 3405355454400 in words is "three trillion, four hundred five billion, three hundred fifty-five million, four hundred fifty-four thousand, four hundred".