3456354000 has 160 divisors (see below), whose sum is σ = 12156543360. Its totient is φ = 837888000.

The previous prime is 3456353947. The next prime is 3456354017. The reversal of 3456354000 is 4536543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39816 + ... + 92184.

It is an arithmetic number, because the mean of its divisors is an integer number (75978396).

Almost surely, 2^3456354000 is an apocalyptic number.

3456354000 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 3456354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078271680).

3456354000 is an abundant number, since it is smaller than the sum of its proper divisors (8700189360).

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

3456354000 is a wasteful number, since it uses less digits than its factorization.

3456354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52406 (or 52390 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 3456354000 is about 58790.7645808421. The cubic root of 3456354000 is about 1511.9568798766.

The spelling of 3456354000 in words is "three billion, four hundred fifty-six million, three hundred fifty-four thousand".