3468924000 has 288 divisors, whose sum is σ = 12406395456. Its totient is φ = 917913600.

The previous prime is 3468923977. The next prime is 3468924007. The reversal of 3468924000 is 4298643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3468924007) 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, 6011712 + ... + 6012288.

It is an arithmetic number, because the mean of its divisors is an integer number (43077762).

Almost surely, 2^3468924000 is an apocalyptic number.

3468924000 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 3468924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6203197728).

3468924000 is an abundant number, since it is smaller than the sum of its proper divisors (8937471456).

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

3468924000 is a wasteful number, since it uses less digits than its factorization.

3468924000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3468924000 is about 58897.5721061573. The cubic root of 3468924000 is about 1513.7875474002.

The spelling of 3468924000 in words is "three billion, four hundred sixty-eight million, nine hundred twenty-four thousand".