3456054360 has 192 divisors, whose sum is σ = 12376035360. Its totient is φ = 829440000.

The previous prime is 3456054353. The next prime is 3456054379. The reversal of 3456054360 is 634506543.

3456054360 is a `hidden beast` number, since 3 + 4 + 5 + 605 + 43 + 6 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395640 + ... + 404280.

Almost surely, 2^3456054360 is an apocalyptic number.

3456054360 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 3456054360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6188017680).

3456054360 is an abundant number, since it is smaller than the sum of its proper divisors (8919981000).

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

3456054360 is a wasteful number, since it uses less digits than its factorization.

3456054360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8770 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3456054360 is about 58788.2161661672. The cubic root of 3456054360 is about 1511.9131868356.

The spelling of 3456054360 in words is "three billion, four hundred fifty-six million, fifty-four thousand, three hundred sixty".