3620138400 has 288 divisors, whose sum is σ = 13783492800. Its totient is φ = 914457600.

The previous prime is 3620138393. The next prime is 3620138437. The reversal of 3620138400 is 48310263.

It is a happy number.

3620138400 is a `hidden beast` number, since 3 + 620 + 1 + 38 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405990 + ... + 414810.

It is an arithmetic number, because the mean of its divisors is an integer number (47859350).

Almost surely, 2^3620138400 is an apocalyptic number.

3620138400 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 3620138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891746400).

3620138400 is an abundant number, since it is smaller than the sum of its proper divisors (10163354400).

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

3620138400 is a wasteful number, since it uses less digits than its factorization.

3620138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8869 (or 8850 counting only the distinct ones).

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

The square root of 3620138400 is about 60167.5859578893. The cubic root of 3620138400 is about 1535.4713757086.

Adding to 3620138400 its reverse (48310263), we get a palindrome (3668448663).

The spelling of 3620138400 in words is "three billion, six hundred twenty million, one hundred thirty-eight thousand, four hundred".