3464192061504 has 168 divisors, whose sum is σ = 10160270496792. Its totient is φ = 1128078581760.

The previous prime is 3464192061497. The next prime is 3464192061511. The reversal of 3464192061504 is 4051602914643.

3464192061504 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 1 + 9 + 20 + 615 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3464192061497) and next prime (3464192061511).

It can be written as a sum of positive squares in 4 ways, for example, as 185629999104 + 3278562062400 = 430848^2 + 1810680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3464192061504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6869514 + ... + 7356534.

Almost surely, 2^{3464192061504} 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 3464192061504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080135248396).

3464192061504 is an abundant number, since it is smaller than the sum of its proper divisors (6696078435288).

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

3464192061504 is a wasteful number, since it uses less digits than its factorization.

3464192061504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487325 (or 487312 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3464192061504 in words is "three trillion, four hundred sixty-four billion, one hundred ninety-two million, sixty-one thousand, five hundred four".