345028801536 has 132 divisors (see below), whose sum is σ = 1008876232000. Its totient is φ = 113553543168.

The previous prime is 345028801519. The next prime is 345028801553. The reversal of 345028801536 is 635108820543.

345028801536 is a `hidden beast` number, since 34 + 5 + 0 + 2 + 8 + 80 + 1 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (345028801519) and next prime (345028801553).

It is a junction number, because it is equal to n+sod(n) for n = 345028801491 and 345028801500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 491115 + ... + 965013.

Almost surely, 2^345028801536 is an apocalyptic number.

345028801536 is a gapful number since it is divisible by the number (36) 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 345028801536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504438116000).

345028801536 is an abundant number, since it is smaller than the sum of its proper divisors (663847430464).

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

345028801536 is a wasteful number, since it uses less digits than its factorization.

345028801536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474004 (or 473983 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 345028801536 in words is "three hundred forty-five billion, twenty-eight million, eight hundred one thousand, five hundred thirty-six".