3612146400 has 432 divisors, whose sum is σ = 13998885264. Its totient is φ = 905748480.

The previous prime is 3612146387. The next prime is 3612146429. The reversal of 3612146400 is 46412163.

3612146400 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 14 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 71 ways as a sum of consecutive naturals, for example, 3304254 + ... + 3305346.

It is an arithmetic number, because the mean of its divisors is an integer number (32404827).

Almost surely, 2^3612146400 is an apocalyptic number.

3612146400 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 3612146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999442632).

3612146400 is an abundant number, since it is smaller than the sum of its proper divisors (10386738864).

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

3612146400 is a wasteful number, since it uses less digits than its factorization.

3612146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3612146400 is about 60101.1347646615. The cubic root of 3612146400 is about 1534.3406151912.

Adding to 3612146400 its reverse (46412163), we get a palindrome (3658558563).

The spelling of 3612146400 in words is "three billion, six hundred twelve million, one hundred forty-six thousand, four hundred".