3426456000 has 224 divisors, whose sum is σ = 12343668480. Its totient is φ = 830592000.

The previous prime is 3426455951. The next prime is 3426456013. The reversal of 3426456000 is 6546243.

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, 257511 + ... + 270489.

Almost surely, 2^3426456000 is an apocalyptic number.

3426456000 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 3426456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171834240).

3426456000 is an abundant number, since it is smaller than the sum of its proper divisors (8917212480).

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

3426456000 is a wasteful number, since it uses less digits than its factorization.

3426456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13020 (or 13000 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3426456000 is about 58535.9376793436. The cubic root of 3426456000 is about 1507.5846947402.

The spelling of 3426456000 in words is "three billion, four hundred twenty-six million, four hundred fifty-six thousand".