3455394337920 has 512 divisors, whose sum is σ = 12944951930880. Its totient is φ = 767433719808.

The previous prime is 3455394337877. The next prime is 3455394337951. The reversal of 3455394337920 is 297334935543.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 409257219 + ... + 409265661.

It is an arithmetic number, because the mean of its divisors is an integer number (25283109240).

Almost surely, 2^{3455394337920} is an apocalyptic number.

3455394337920 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 3455394337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472475965440).

3455394337920 is an abundant number, since it is smaller than the sum of its proper divisors (9489557592960).

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

3455394337920 is a wasteful number, since it uses less digits than its factorization.

3455394337920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9332 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 57.

The spelling of 3455394337920 in words is "three trillion, four hundred fifty-five billion, three hundred ninety-four million, three hundred thirty-seven thousand, nine hundred twenty".