3450720614400 has 1152 divisors, whose sum is σ = 13016066918400. Its totient is φ = 895795200000.

The previous prime is 3450720614387. The next prime is 3450720614447. The reversal of 3450720614400 is 44160270543.

3450720614400 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 7 + 206 + 1 + 440 + 0 = 666.

3450720614400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3450720614400² (a number of 26 digits) contains 22 as substring.

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, 12733286265 + ... + 12733286535.

It is an arithmetic number, because the mean of its divisors is an integer number (11298669200).

Almost surely, 2^{3450720614400} is an apocalyptic number.

3450720614400 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 3450720614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508033459200).

3450720614400 is an abundant number, since it is smaller than the sum of its proper divisors (9565346304000).

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

3450720614400 is a wasteful number, since it uses less digits than its factorization.

3450720614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 3450720614400 its reverse (44160270543), we get a palindrome (3494880884943).

The spelling of 3450720614400 in words is "three trillion, four hundred fifty billion, seven hundred twenty million, six hundred fourteen thousand, four hundred".