3735354960 has 320 divisors, whose sum is σ = 13309148160. Its totient is φ = 962357760.

The previous prime is 3735354949. The next prime is 3735354977. The reversal of 3735354960 is 694535373.

3735354960 is a `hidden beast` number, since 3 + 73 + 535 + 49 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12167127 + ... + 12167433.

It is an arithmetic number, because the mean of its divisors is an integer number (41591088).

Almost surely, 2^3735354960 is an apocalyptic number.

3735354960 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 3735354960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6654574080).

3735354960 is an abundant number, since it is smaller than the sum of its proper divisors (9573793200).

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

3735354960 is a wasteful number, since it uses less digits than its factorization.

3735354960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 491 counting only the distinct ones).

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

The square root of 3735354960 is about 61117.5503435797. The cubic root of 3735354960 is about 1551.5911458006.

The spelling of 3735354960 in words is "three billion, seven hundred thirty-five million, three hundred fifty-four thousand, nine hundred sixty".