3461723591040 has 768 divisors, whose sum is σ = 14058402845760. Its totient is φ = 773834342400.

The previous prime is 3461723591021. The next prime is 3461723591057. The reversal of 3461723591040 is 401953271643.

3461723591040 is a `hidden beast` number, since 3 + 4 + 6 + 17 + 2 + 3 + 591 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1130911110 + ... + 1130914170.

Almost surely, 2^{3461723591040} is an apocalyptic number.

3461723591040 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 3461723591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029201422880).

3461723591040 is an abundant number, since it is smaller than the sum of its proper divisors (10596679254720).

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

3461723591040 is a wasteful number, since it uses less digits than its factorization.

3461723591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3461723591040 in words is "three trillion, four hundred sixty-one billion, seven hundred twenty-three million, five hundred ninety-one thousand, forty".