3435868800 has 1536 divisors, whose sum is σ = 16998912000. Its totient is φ = 656916480.

The previous prime is 3435868783. The next prime is 3435868831. The reversal of 3435868800 is 88685343.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149385589 + ... + 149385611.

It is an arithmetic number, because the mean of its divisors is an integer number (11067000).

Almost surely, 2^3435868800 is an apocalyptic number.

3435868800 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 3435868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8499456000).

3435868800 is an abundant number, since it is smaller than the sum of its proper divisors (13563043200).

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

3435868800 is a wasteful number, since it uses less digits than its factorization.

3435868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3435868800 is about 58616.2844267700. The cubic root of 3435868800 is about 1508.9639253220.

The spelling of 3435868800 in words is "three billion, four hundred thirty-five million, eight hundred sixty-eight thousand, eight hundred".