345615480 has 384 divisors, whose sum is σ = 1374796800. Its totient is φ = 73598976.

The previous prime is 345615469. The next prime is 345615509. The reversal of 345615480 is 84516543.

It is a happy number.

345615480 is a `hidden beast` number, since 34 + 5 + 615 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3883276 + ... + 3883364.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2^345615480 is an apocalyptic number.

345615480 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 345615480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687398400).

345615480 is an abundant number, since it is smaller than the sum of its proper divisors (1029181320).

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

345615480 is a wasteful number, since it uses less digits than its factorization.

345615480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 345615480 is about 18590.7364028432. The cubic root of 345615480 is about 701.7747347449.

The spelling of 345615480 in words is "three hundred forty-five million, six hundred fifteen thousand, four hundred eighty".