3463540704 has 288 divisors, whose sum is σ = 11268784800. Its totient is φ = 1000304640.

The previous prime is 3463540697. The next prime is 3463540709. The reversal of 3463540704 is 4070453643.

It is a happy number.

3463540704 is a `hidden beast` number, since 3 + 46 + 3 + 540 + 70 + 4 = 666.

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

It is a super-2 number, since 2×3463540704² = 23992228416529631232, which contains 22 as substring.

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 (3463540709) 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, 12875482 + ... + 12875750.

It is an arithmetic number, because the mean of its divisors is an integer number (39127725).

Almost surely, 2^3463540704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3463540704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634392400).

3463540704 is an abundant number, since it is smaller than the sum of its proper divisors (7805244096).

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

3463540704 is a wasteful number, since it uses less digits than its factorization.

3463540704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3463540704 is about 58851.8538705451. The cubic root of 3463540704 is about 1513.0040781792.

The spelling of 3463540704 in words is "three billion, four hundred sixty-three million, five hundred forty thousand, seven hundred four".