3436007062500 has 1008 divisors, whose sum is σ = 12112854953472. Its totient is φ = 817344000000.

The previous prime is 3436007062493. The next prime is 3436007062511. The reversal of 3436007062500 is 52607006343.

3436007062500 is a `hidden beast` number, since 3 + 43 + 600 + 7 + 0 + 6 + 2 + 5 + 0 + 0 = 666.

3436007062500 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 2×3436007062500² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 19861312414 + ... + 19861312586.

It is an arithmetic number, because the mean of its divisors is an integer number (12016721184).

Almost surely, 2^{3436007062500} is an apocalyptic number.

3436007062500 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 3436007062500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056427476736).

3436007062500 is an abundant number, since it is smaller than the sum of its proper divisors (8676847890972).

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

3436007062500 is a wasteful number, since it uses less digits than its factorization.

3436007062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 3436007062500 in words is "three trillion, four hundred thirty-six billion, seven million, sixty-two thousand, five hundred".