3461262840 has 448 divisors, whose sum is σ = 13800130560. Its totient is φ = 764225280.

The previous prime is 3461262823. The next prime is 3461262841. The reversal of 3461262840 is 482621643.

3461262840 is a `hidden beast` number, since 34 + 612 + 6 + 2 + 8 + 4 + 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 = 3461262795 and 3461262804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3461262841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6327447 + ... + 6327993.

Almost surely, 2^3461262840 is an apocalyptic number.

3461262840 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 3461262840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900065280).

3461262840 is an abundant number, since it is smaller than the sum of its proper divisors (10338867720).

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

3461262840 is a wasteful number, since it uses less digits than its factorization.

3461262840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3461262840 is about 58832.4981621552. The cubic root of 3461262840 is about 1512.6723200521.

The spelling of 3461262840 in words is "three billion, four hundred sixty-one million, two hundred sixty-two thousand, eight hundred forty".