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3672992349 = 321331393097
BaseRepresentation
bin1101101011101101…
…0110101001011101
3100110222101100021200
43122323112221131
530010241223344
61404244550113
7160006630335
oct33273265135
910428340250
103672992349
111615343574
128660b2339
13466c58970
1426bb500c5
151676ce069
hexdaed6a5d

3672992349 has 12 divisors (see below), whose sum is σ = 5713543836. Its totient is φ = 2260302912.

The previous prime is 3672992347. The next prime is 3672992357. The reversal of 3672992349 is 9432992763.

3672992349 is a `hidden beast` number, since 3 + 6 + 7 + 299 + 2 + 349 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1859765625 + 1813226724 = 43125^2 + 42582^2 .

It is not a de Polignac number, because 3672992349 - 21 = 3672992347 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3672992295 and 3672992304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672992347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15696432 + ... + 15696665.

It is an arithmetic number, because the mean of its divisors is an integer number (476128653).

Almost surely, 23672992349 is an apocalyptic number.

3672992349 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3672992349 is a deficient number, since it is larger than the sum of its proper divisors (2040551487).

3672992349 is a wasteful number, since it uses less digits than its factorization.

3672992349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31393116 (or 31393113 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The square root of 3672992349 is about 60605.2171764115. The cubic root of 3672992349 is about 1542.9079183870.

The spelling of 3672992349 in words is "three billion, six hundred seventy-two million, nine hundred ninety-two thousand, three hundred forty-nine".

Divisors: 1 3 9 13 39 117 31393097 94179291 282537873 408110261 1224330783 3672992349