3603116034000 has 2240 divisors, whose sum is σ = 16653911938560. Its totient is φ = 733656268800.

The previous prime is 3603116033971. The next prime is 3603116034013. The reversal of 3603116034000 is 4306113063.

3603116034000 is a `hidden beast` number, since 3 + 6 + 0 + 3 + 11 + 603 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 3296537454 + ... + 3296538546.

Almost surely, 2^{3603116034000} is an apocalyptic number.

3603116034000 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 3603116034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8326955969280).

3603116034000 is an abundant number, since it is smaller than the sum of its proper divisors (13050795904560).

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

3603116034000 is a wasteful number, since it uses less digits than its factorization.

3603116034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 3603116034000 in words is "three trillion, six hundred three billion, one hundred sixteen million, thirty-four thousand".