3450410483520 has 3024 divisors, whose sum is σ = 16136186883264. Its totient is φ = 619934515200.

The previous prime is 3450410483489. The next prime is 3450410483551. The reversal of 3450410483520 is 253840140543.

It is an interprime number because it is at equal distance from previous prime (3450410483489) and next prime (3450410483551).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 16352656215 + ... + 16352656425.

It is an arithmetic number, because the mean of its divisors is an integer number (5336040636).

Almost surely, 2^{3450410483520} is an apocalyptic number.

3450410483520 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 3450410483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8068093441632).

3450410483520 is an abundant number, since it is smaller than the sum of its proper divisors (12685776399744).

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

3450410483520 is a wasteful number, since it uses less digits than its factorization.

3450410483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 3450410483520 in words is "three trillion, four hundred fifty billion, four hundred ten million, four hundred eighty-three thousand, five hundred twenty".