3436316628480 has 800 divisors, whose sum is σ = 13176056678400. Its totient is φ = 853350432768.

The previous prime is 3436316628473. The next prime is 3436316628491. The reversal of 3436316628480 is 848266136343.

3436316628480 is a `hidden beast` number, since 3 + 4 + 3 + 6 + 3 + 1 + 6 + 628 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×3436316628480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 232443169 + ... + 232457951.

It is an arithmetic number, because the mean of its divisors is an integer number (16470070848).

Almost surely, 2^{3436316628480} is an apocalyptic number.

3436316628480 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 3436316628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588028339200).

3436316628480 is an abundant number, since it is smaller than the sum of its proper divisors (9739740049920).

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

3436316628480 is a wasteful number, since it uses less digits than its factorization.

3436316628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14896 (or 14871 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 3436316628480 in words is "three trillion, four hundred thirty-six billion, three hundred sixteen million, six hundred twenty-eight thousand, four hundred eighty".