3426969600 has 576 divisors, whose sum is σ = 13121035200. Its totient is φ = 875888640.

The previous prime is 3426969593. The next prime is 3426969607. The reversal of 3426969600 is 69696243.

3426969600 is a `hidden beast` number, since 34 + 2 + 6 + 9 + 6 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (3426969593) and next prime (3426969607).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3426969607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51148767 + ... + 51148833.

It is an arithmetic number, because the mean of its divisors is an integer number (22779575).

Almost surely, 2^3426969600 is an apocalyptic number.

3426969600 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 3426969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6560517600).

3426969600 is an abundant number, since it is smaller than the sum of its proper divisors (9694065600).

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

3426969600 is a wasteful number, since it uses less digits than its factorization.

3426969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3426969600 is about 58540.3245635007. The cubic root of 3426969600 is about 1507.6600161817.

The spelling of 3426969600 in words is "three billion, four hundred twenty-six million, nine hundred sixty-nine thousand, six hundred".