3461356440 has 48 divisors (see below), whose sum is σ = 11249409600. Its totient is φ = 923028288.

The previous prime is 3461356433. The next prime is 3461356471. The reversal of 3461356440 is 446531643.

3461356440 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 3 + 5 + 644 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3461356395 and 3461356404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4807080 + ... + 4807799.

It is an arithmetic number, because the mean of its divisors is an integer number (234362700).

Almost surely, 2^3461356440 is an apocalyptic number.

3461356440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3461356440 is an abundant number, since it is smaller than the sum of its proper divisors (7788053160).

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

3461356440 is a wasteful number, since it uses less digits than its factorization.

3461356440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9614896 (or 9614889 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3461356440 is about 58833.2936354918. The cubic root of 3461356440 is about 1512.6859552347.

The spelling of 3461356440 in words is "three billion, four hundred sixty-one million, three hundred fifty-six thousand, four hundred forty".