3735349650 has 288 divisors, whose sum is σ = 11559974400. Its totient is φ = 858470400.

The previous prime is 3735349643. The next prime is 3735349687. The reversal of 3735349650 is 569435373.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3735349596 and 3735349605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4505436 + ... + 4506264.

It is an arithmetic number, because the mean of its divisors is an integer number (40138800).

Almost surely, 2^3735349650 is an apocalyptic number.

3735349650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3735349650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779987200).

3735349650 is an abundant number, since it is smaller than the sum of its proper divisors (7824624750).

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

3735349650 is a wasteful number, since it uses less digits than its factorization.

3735349650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The square root of 3735349650 is about 61117.5069026871. The cubic root of 3735349650 is about 1551.5904105779.

The spelling of 3735349650 in words is "three billion, seven hundred thirty-five million, three hundred forty-nine thousand, six hundred fifty".