3542653800 has 768 divisors, whose sum is σ = 15266880000. Its totient is φ = 736542720.

The previous prime is 3542653789. The next prime is 3542653861. The reversal of 3542653800 is 83562453.

It is a happy number.

It is a super-3 number, since 3×3542653800³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23776126 + ... + 23776274.

It is an arithmetic number, because the mean of its divisors is an integer number (19878750).

Almost surely, 2^3542653800 is an apocalyptic number.

3542653800 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 3542653800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633440000).

3542653800 is an abundant number, since it is smaller than the sum of its proper divisors (11724226200).

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

3542653800 is a wasteful number, since it uses less digits than its factorization.

3542653800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3542653800 is about 59520.1965722560. The cubic root of 3542653800 is about 1524.4373163736.

It can be divided in two parts, 3542653 and 800, that added together give a palindrome (3543453).

The spelling of 3542653800 in words is "three billion, five hundred forty-two million, six hundred fifty-three thousand, eight hundred".