3673434960 has 240 divisors, whose sum is σ = 13596046464. Its totient is φ = 883104768.

The previous prime is 3673434913. The next prime is 3673434967. The reversal of 3673434960 is 694343763.

3673434960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673434967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397917 + ... + 407043.

Almost surely, 2^3673434960 is an apocalyptic number.

3673434960 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 3673434960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798023232).

3673434960 is an abundant number, since it is smaller than the sum of its proper divisors (9922611504).

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

3673434960 is a wasteful number, since it uses less digits than its factorization.

3673434960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9202 (or 9193 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The square root of 3673434960 is about 60608.8686579778. The cubic root of 3673434960 is about 1542.9698915252.

The spelling of 3673434960 in words is "three billion, six hundred seventy-three million, four hundred thirty-four thousand, nine hundred sixty".