3414741736320 has 512 divisors, whose sum is σ = 13479265728000. Its totient is φ = 811924881408.

The previous prime is 3414741736319. The next prime is 3414741736369. The reversal of 3414741736320 is 236371474143.

3414741736320 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 7 + 4 + 1 + 7 + 3 + 632 + 0 = 666.

It is a super-2 number, since 2×3414741736320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5275539 + ... + 5887341.

It is an arithmetic number, because the mean of its divisors is an integer number (26326690875).

Almost surely, 2^{3414741736320} is an apocalyptic number.

3414741736320 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 3414741736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739632864000).

3414741736320 is an abundant number, since it is smaller than the sum of its proper divisors (10064523991680).

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

3414741736320 is a wasteful number, since it uses less digits than its factorization.

3414741736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611867 (or 611849 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 3414741736320 in words is "three trillion, four hundred fourteen billion, seven hundred forty-one million, seven hundred thirty-six thousand, three hundred twenty".