3454047751440 has 320 divisors, whose sum is σ = 12589314232320. Its totient is φ = 772330567680.

The previous prime is 3454047751411. The next prime is 3454047751463. The reversal of 3454047751440 is 441577404543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3454047751440.

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, 44680341 + ... + 44757579.

It is an arithmetic number, because the mean of its divisors is an integer number (39341606976).

Almost surely, 2^{3454047751440} is an apocalyptic number.

3454047751440 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 3454047751440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294657116160).

3454047751440 is an abundant number, since it is smaller than the sum of its proper divisors (9135266480880).

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

3454047751440 is a wasteful number, since it uses less digits than its factorization.

3454047751440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78582 (or 78576 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 48.

The spelling of 3454047751440 in words is "three trillion, four hundred fifty-four billion, forty-seven million, seven hundred fifty-one thousand, four hundred forty".