3755272400 has 120 divisors (see below), whose sum is σ = 9864841824. Its totient is φ = 1362419200.

The previous prime is 3755272393. The next prime is 3755272439. The reversal of 3755272400 is 42725573.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2872547 + ... + 2873853.

Almost surely, 2^3755272400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3755272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932420912).

3755272400 is an abundant number, since it is smaller than the sum of its proper divisors (6109569424).

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

3755272400 is a wasteful number, since it uses less digits than its factorization.

3755272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 35.

The square root of 3755272400 is about 61280.2774145157. The cubic root of 3755272400 is about 1554.3440263474.

Adding to 3755272400 its reverse (42725573), we get a palindrome (3797997973).

The spelling of 3755272400 in words is "three billion, seven hundred fifty-five million, two hundred seventy-two thousand, four hundred".