3607161990000 has 800 divisors, whose sum is σ = 12400370611200. Its totient is φ = 901401600000.

The previous prime is 3607161989999. The next prime is 3607161990001. The reversal of 3607161990000 is 991617063.

It is an interprime number because it is at equal distance from previous prime (3607161989999) and next prime (3607161990001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3607161990001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9272909806 + ... + 9272910194.

It is an arithmetic number, because the mean of its divisors is an integer number (15500463264).

Almost surely, 2^{3607161990000} is an apocalyptic number.

3607161990000 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 3607161990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6200185305600).

3607161990000 is an abundant number, since it is smaller than the sum of its proper divisors (8793208621200).

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

3607161990000 is a wasteful number, since it uses less digits than its factorization.

3607161990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The spelling of 3607161990000 in words is "three trillion, six hundred seven billion, one hundred sixty-one million, nine hundred ninety thousand".