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3674319040 = 265737431031
BaseRepresentation
bin1101101100000001…
…1010100011000000
3100111001212202011101
43123000122203000
530011111202130
61404333224144
7160024124260
oct33300324300
910431782141
103674319040
11161606a307
12866632054
134673017a2
1426bdb77a0
151678921ca
hexdb01a8c0

3674319040 has 224 divisors, whose sum is σ = 10518672384. Its totient is φ = 1196052480.

The previous prime is 3674319031. The next prime is 3674319049. The reversal of 3674319040 is 409134763.

It is an interprime number because it is at equal distance from previous prime (3674319031) and next prime (3674319049).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (3674319049) 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, 3563325 + ... + 3564355.

Almost surely, 23674319040 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 3674319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259336192).

3674319040 is an abundant number, since it is smaller than the sum of its proper divisors (6844353344).

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

3674319040 is a wasteful number, since it uses less digits than its factorization.

3674319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 3674319040 is about 60616.1615412919. The cubic root of 3674319040 is about 1543.0936630015.

The spelling of 3674319040 in words is "three billion, six hundred seventy-four million, three hundred nineteen thousand, forty".