3454942740480 has 3072 divisors, whose sum is σ = 16488396288000. Its totient is φ = 686696693760.

The previous prime is 3454942740467. The next prime is 3454942740511. The reversal of 3454942740480 is 840472494543.

3454942740480 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 94 + 2 + 74 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150214901749 + ... + 150214901771.

It is an arithmetic number, because the mean of its divisors is an integer number (5367316500).

Almost surely, 2^{3454942740480} is an apocalyptic number.

3454942740480 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 3454942740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8244198144000).

3454942740480 is an abundant number, since it is smaller than the sum of its proper divisors (13033453547520).

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

3454942740480 is an frugal number, since it uses more digits than its factorization.

3454942740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 3454942740480 in words is "three trillion, four hundred fifty-four billion, nine hundred forty-two million, seven hundred forty thousand, four hundred eighty".