3499029997200 has 840 divisors, whose sum is σ = 13130712873000. Its totient is φ = 894531133440.

The previous prime is 3499029997187. The next prime is 3499029997213. The reversal of 3499029997200 is 27999209943.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3499029997187) and next prime (3499029997213).

It can be written as a sum of positive squares in 12 ways, for example, as 2250036000144 + 1248993997056 = 1500012^2 + 1117584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1260002212 + ... + 1260004988.

Almost surely, 2^{3499029997200} is an apocalyptic number.

3499029997200 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 3499029997200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6565356436500).

3499029997200 is an abundant number, since it is smaller than the sum of its proper divisors (9631682875800).

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

3499029997200 is a wasteful number, since it uses less digits than its factorization.

3499029997200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 3499029997200 in words is "three trillion, four hundred ninety-nine billion, twenty-nine million, nine hundred ninety-seven thousand, two hundred".