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3674312064 = 27332961601
BaseRepresentation
bin1101101100000001…
…1000110110000000
3100111001212101121000
43123000120312000
530011110441224
61404333132000
7160024065033
oct33300306600
910431771530
103674312064
111616065045
1286662a000
134672cb567
1426bdb501a
151678900c9
hexdb018d80

3674312064 has 256 divisors, whose sum is σ = 11421144000. Its totient is φ = 1161216000.

The previous prime is 3674312063. The next prime is 3674312071. The reversal of 3674312064 is 4602134763.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3674312063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6113364 + ... + 6113964.

Almost surely, 23674312064 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 3674312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710572000).

3674312064 is an abundant number, since it is smaller than the sum of its proper divisors (7746831936).

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

3674312064 is a wasteful number, since it uses less digits than its factorization.

3674312064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3674312064 is about 60616.1039988550. The cubic root of 3674312064 is about 1543.0926864370.

The spelling of 3674312064 in words is "three billion, six hundred seventy-four million, three hundred twelve thousand, sixty-four".