3463965000 has 240 divisors, whose sum is σ = 12161669520. Its totient is φ = 923400000.

The previous prime is 3463964951. The next prime is 3463965019. The reversal of 3463965000 is 5693643.

3463965000 is a `hidden beast` number, since 3 + 4 + 63 + 96 + 500 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1213575 + ... + 1216425.

It is an arithmetic number, because the mean of its divisors is an integer number (50673623).

Almost surely, 2^3463965000 is an apocalyptic number.

3463965000 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 3463965000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080834760).

3463965000 is an abundant number, since it is smaller than the sum of its proper divisors (8697704520).

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

3463965000 is an equidigital number, since it uses as much as digits as its factorization.

3463965000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3463965000 is about 58855.4585403937. The cubic root of 3463965000 is about 1513.0658584422.

The spelling of 3463965000 in words is "three billion, four hundred sixty-three million, nine hundred sixty-five thousand".