3735804240 has 280 divisors, whose sum is σ = 14884666368. Its totient is φ = 853804800.

The previous prime is 3735804239. The next prime is 3735804251. The reversal of 3735804240 is 424085373.

It is a happy number.

3735804240 is a `hidden beast` number, since 3 + 73 + 580 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a junction number, because it is equal to n+sod(n) for n = 3735804195 and 3735804204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 403665 + ... + 412815.

Almost surely, 2^3735804240 is an apocalyptic number.

3735804240 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 3735804240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442333184).

3735804240 is an abundant number, since it is smaller than the sum of its proper divisors (11148862128).

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

3735804240 is an equidigital number, since it uses as much as digits as its factorization.

3735804240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9189 (or 9168 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3735804240 is about 61121.2257730488. The cubic root of 3735804240 is about 1551.6533505915.

The spelling of 3735804240 in words is "three billion, seven hundred thirty-five million, eight hundred four thousand, two hundred forty".