3463720031000 has 64 divisors (see below), whose sum is σ = 8110803991680. Its totient is φ = 1384513804800.

The previous prime is 3463720030973. The next prime is 3463720031039. The reversal of 3463720031000 is 1300273643.

It is a happy number.

3463720031000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3463720031000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205952 + ... + 2640048.

It is an arithmetic number, because the mean of its divisors is an integer number (126731312370).

Almost surely, 2^{3463720031000} 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 3463720031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055401995840).

3463720031000 is an abundant number, since it is smaller than the sum of its proper divisors (4647083960680).

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

3463720031000 is a wasteful number, since it uses less digits than its factorization.

3463720031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435541 (or 2435527 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The spelling of 3463720031000 in words is "three trillion, four hundred sixty-three billion, seven hundred twenty million, thirty-one thousand".