3461723820 has 72 divisors (see below), whose sum is σ = 10507953456. Its totient is φ = 922476672.

The previous prime is 3461723819. The next prime is 3461723827. The reversal of 3461723820 is 283271643.

It is a happy number.

3461723820 is a `hidden beast` number, since 3 + 4 + 617 + 2 + 38 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3461723827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284379 + ... + 296301.

It is an arithmetic number, because the mean of its divisors is an integer number (145943798).

Almost surely, 2^3461723820 is an apocalyptic number.

3461723820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3461723820 is an abundant number, since it is smaller than the sum of its proper divisors (7046229636).

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

3461723820 is a wasteful number, since it uses less digits than its factorization.

3461723820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13551 (or 13546 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3461723820 is about 58836.4157643886. The cubic root of 3461723820 is about 1512.7394709509.

The spelling of 3461723820 in words is "three billion, four hundred sixty-one million, seven hundred twenty-three thousand, eight hundred twenty".