3671557120 has 352 divisors, whose sum is σ = 11224765440. Its totient is φ = 1119191040.

The previous prime is 3671557117. The next prime is 3671557171. The reversal of 3671557120 is 217551763.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-3 number, since 3×3671557120³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3671557120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26414011 + ... + 26414149.

Almost surely, 2^3671557120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3671557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612382720).

3671557120 is an abundant number, since it is smaller than the sum of its proper divisors (7553208320).

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

3671557120 is a wasteful number, since it uses less digits than its factorization.

3671557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 3671557120 is about 60593.3752154474. The cubic root of 3671557120 is about 1542.7069274354.

The spelling of 3671557120 in words is "three billion, six hundred seventy-one million, five hundred fifty-seven thousand, one hundred twenty".