3426008400 has 420 divisors, whose sum is σ = 12772535680. Its totient is φ = 881798400.

The previous prime is 3426008387. The next prime is 3426008413. The reversal of 3426008400 is 48006243.

It is an interprime number because it is at equal distance from previous prime (3426008387) and next prime (3426008413).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9039411 + ... + 9039789.

Almost surely, 2^3426008400 is an apocalyptic number.

3426008400 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 3426008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386267840).

3426008400 is an abundant number, since it is smaller than the sum of its proper divisors (9346527280).

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

3426008400 is a wasteful number, since it uses less digits than its factorization.

3426008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3426008400 is about 58532.1142621724. The cubic root of 3426008400 is about 1507.5190463176.

The spelling of 3426008400 in words is "three billion, four hundred twenty-six million, eight thousand, four hundred".