3755115840 has 224 divisors, whose sum is σ = 13670645760. Its totient is φ = 855484416.

The previous prime is 3755115823. The next prime is 3755115869. The reversal of 3755115840 is 485115573.

It is a Cunningham number, because it is equal to 61279²-1.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2573031 + ... + 2574489.

Almost surely, 2^3755115840 is an apocalyptic number.

3755115840 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 3755115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6835322880).

3755115840 is an abundant number, since it is smaller than the sum of its proper divisors (9915529920).

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

3755115840 is a wasteful number, since it uses less digits than its factorization.

3755115840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The square root of 3755115840 is about 61278.9999918406. Note that the first 5 decimals coincide. The cubic root of 3755115840 is about 1554.3224254748.

It can be divided in two parts, 375 and 5115840, that multiplied together give a square (1918440000 = 43800²).

The spelling of 3755115840 in words is "three billion, seven hundred fifty-five million, one hundred fifteen thousand, eight hundred forty".