4052937600 has 384 divisors, whose sum is σ = 15095388000. Its totient is φ = 1061683200.

The previous prime is 4052937599. The next prime is 4052937607. The reversal of 4052937600 is 67392504.

4052937600 is a `hidden beast` number, since 40 + 5 + 2 + 9 + 3 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4052937607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5270016 + ... + 5270784.

Almost surely, 2^4052937600 is an apocalyptic number.

4052937600 is a gapful number since it is divisible by the number (40) 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 4052937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547694000).

4052937600 is an abundant number, since it is smaller than the sum of its proper divisors (11042450400).

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

4052937600 is a wasteful number, since it uses less digits than its factorization.

4052937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4052937600 is about 63662.6860884773. The cubic root of 4052937600 is about 1594.3731514736.

The spelling of 4052937600 in words is "four billion, fifty-two million, nine hundred thirty-seven thousand, six hundred".