3690414100 has 72 divisors (see below), whose sum is σ = 8267345856. Its totient is φ = 1428960000.

The previous prime is 3690414097. The next prime is 3690414107. The reversal of 3690414100 is 14140963.

3690414100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3690414107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533665 + ... + 540535.

It is an arithmetic number, because the mean of its divisors is an integer number (114824248).

Almost surely, 2^3690414100 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 3690414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133672928).

3690414100 is an abundant number, since it is smaller than the sum of its proper divisors (4576931756).

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

3690414100 is a wasteful number, since it uses less digits than its factorization.

3690414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7057 (or 7050 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3690414100 is about 60748.7785885445. The cubic root of 3690414100 is about 1545.3435137911.

The spelling of 3690414100 in words is "three billion, six hundred ninety million, four hundred fourteen thousand, one hundred".