3693146400 has 180 divisors, whose sum is σ = 13468423122. Its totient is φ = 984821760.

The previous prime is 3693146399. The next prime is 3693146417. The reversal of 3693146400 is 46413963.

3693146400 is a `hidden beast` number, since 3 + 6 + 9 + 3 + 1 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3231240336 + 461906064 = 56844^2 + 21492^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 36304 + ... + 93296.

Almost surely, 2^3693146400 is an apocalyptic number.

3693146400 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 3693146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734211561).

3693146400 is an abundant number, since it is smaller than the sum of its proper divisors (9775276722).

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

3693146400 is a wasteful number, since it uses less digits than its factorization.

3693146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57025 (or 57003 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3693146400 is about 60771.2629455732. The cubic root of 3693146400 is about 1545.7247989580.

The spelling of 3693146400 in words is "three billion, six hundred ninety-three million, one hundred forty-six thousand, four hundred".