3455689236480 has 1344 divisors, whose sum is σ = 14174219299968. Its totient is φ = 800084459520.

The previous prime is 3455689236479. The next prime is 3455689236491. The reversal of 3455689236480 is 846329865543.

3455689236480 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 68 + 92 + 3 + 6 + 480 = 666.

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, 2199674095 + ... + 2199675665.

It is an arithmetic number, because the mean of its divisors is an integer number (10546294122).

Almost surely, 2^{3455689236480} is an apocalyptic number.

3455689236480 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 3455689236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7087109649984).

3455689236480 is an abundant number, since it is smaller than the sum of its proper divisors (10718530063488).

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

3455689236480 is a wasteful number, since it uses less digits than its factorization.

3455689236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 3455689236480 in words is "three trillion, four hundred fifty-five billion, six hundred eighty-nine million, two hundred thirty-six thousand, four hundred eighty".